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Solve Using the Quadratic Formula x^2-5x+6=0. Step 1. Use the quadratic formula to find the solutions. Step 2. Substitute the values , , and into the quadratic formula and solve for . Step 3. Simplify. Tap for more steps... Step 3.1. Simplify the numerator. Tap for more steps... Step 3.1.1. Raise to the power of . Step 3.1.2.

x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...

The "±" means we need to do a plus AND a minus, so there are normally TWO solutions ! The blue part (b 2 - 4ac) is called the "discriminant", because it can "discriminate" between the possible types of answer:when it is positive, we get two real solutions,; when it is zero we get only one solution,; when it is negative we get complex solutions; Learn more at Quadratic Equations

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3.2 Solving x 2 +5x+6 = 0 by Completing The Square . Subtract 6 from both side of the equation : x 2 +5x = -6 Now the clever bit: Take the coefficient of x , which is 5 , divide by two, giving 5/2 , and finally square it giving 25/4 Add 25/4 to both sides of the equation : On the right hand side we have :

solve x^2 + 5x + 6 = 0. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…

Answer: The roots of the quadratic equation x 2 + 5x + 6 = 0 are -2 and -3. Let us see how to factorize the quadratic equation. Explanation: We will factorize x 2 + 5x + 6 by splitting the middle term. First, we need to find two numbers ‘a’ and ‘b’ such that a + b = 5x and ab = 6x 2.

Calculator Use. This online calculator is a quadratic equation solver that will solve a second-order polynomial equation such as ax 2 + bx + c = 0 for x, where a ≠ 0, using the quadratic formula. You can enter the coefficients a and b and the contant c. You can also enter a quadradic expression or any 2nd order polynomial.

First we need to factor trinomial $ \color{blue}{ x^2+5x+6 } $ and than we use factored form to solve an equation $ \color{blue}{ x^2+5x+6 = 0} $. Step 1: Identify constants $ \color{blue}{ b }$ and $\color{red}{ c }$. ( $ \color{blue}{ b }$ is a number in front of the $ x $ term and $ \color{red}{ c } $ is a constant). In our case:

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(5)² - 416 = 25 - 24 = 1. Substitute the a, b, and the calculated discriminant into the quadratic formula which gives the roots of the quadratic equation as: -5 ± √1 / 2 * 1. This gives the two roots of the equation as x = -3 and x = -2. Therefore, the solutions of the quadratic equation x² + 5x + 6 = 0 are -3 and -2.

x²-5x-6=0 的解法过程如下： x²-5x-6=(x-2)(x-3)（这里用到了因式分解，把x²-5x-6分解成两个因式的积）。 (x-2)(x-3)=0（这里用到的是等式替换）。 则x-2=0 或 x-3=0（只要x-2或x-3两项中有一项等于0，即可满足(x-2)(x-3)=0）。

Divide -5, the coefficient of the x term, by 2 to get -\frac{5}{2}. Then add the square of -\frac{5}{2} to both sides of the equation. This step makes the left hand side of the equation a perfect square.

$$ \begin{matrix}x_1 = -1 & x_2 = 6 \\[1 em] \end{matrix} $$ Explanation $ x^{2}-5x-6 = 0 $ is a quadratic equation. You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation. This page was created using. Polynomial Equations Solver.

3.2 Solving x 2-5x-6 = 0 by Completing The Square . Add 6 to both side of the equation : x 2-5x = 6 Now the clever bit: Take the coefficient of x , which is 5 , divide by two, giving 5/2 , and finally square it giving 25/4 Add 25/4 to both sides of the equation : On the right hand side we have :

x2+5x+6=0 Two solutions were found : x = -2 x = -3 Reformatting the input : Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2".

Question: The equation ax²+5x-6=0. where a is constant, has two different solutions. If 3 and c are the two solutions, what is the value of c? C= Show transcribed image text. Here’s the best way to solve it. Solution. Ans) Let and be the root of the quadratic equation .

Recognizing Characteristics of Parabolas. The graph of a quadratic function is a U-shaped curve called a parabola.One important feature of the graph is that it has an extreme point, called the vertex.If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point ...

To solve the quadratic equation x 2 + 5 x + 6 = 0, we'll use the factoring method, which is great for simple quadratic equations like this one. Identify the Coefficients: The equation is in the standard form a x 2 + b x + c = 0, where a = 1, b = 5, and c = 6. Factor the Quadratic: We need to find two numbers that multiply to c = 6 and add up to ...