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Solve this equation
x^2 +11x+18=0

User Maxkfranz
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2 Answers

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Answer:here

Explanation:

Solve this equation x^2 +11x+18=0-example-1
User Fraank
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5 votes

Answer: The solutions to the equation x^2 + 11x + 18 = 0 are x = -2 and x = -9.

Step-by-step explanation: To solve this equation, we need to factorize the quadratic expression or use the quadratic formula.

Method 1: Factorization

We need to find two numbers whose product is 18 and sum is 11. These numbers are 9 and 2. Therefore,

x^2 + 11x + 18 = 0

(x + 9)(x + 2) = 0

So the solutions are:

x + 9 = 0 or x + 2 = 0

x = -9 or x = -2

Method 2: Quadratic formula

The quadratic formula is given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

Substituting the values from the given equation into the formula, we get:

x = (-11 ± sqrt(11^2 - 4(1)(18))) / 2(1)

x = (-11 ± sqrt(121 - 72)) / 2

x = (-11 ± sqrt(49)) / 2

So the solutions are:

x = (-11 + 7) / 2 or x = (-11 - 7) / 2

x = -2 or x = -9

User Anisart
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