What are the solutions to the equation (x+8)(x+7)=90 ?

The solutions to the equation (x+8)(x+7)=90 are x=2,x=-17

Find the zeros of (x+8)(x+7)=90

The zeros of (x+8)(x+7)=90 are x=2,x=-17

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(x + 8) (x + 7) = 90

x = 2, x = - 17

Solution steps

(x + 8) (x + 7) = 90

Expand

(x + 8) (x + 7) : x^{2} + 15 x + 56

x^{2} + 15 x + 56 = 90

Move

90

to the left side

x^{2} + 15 x - 34 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 15 \pm 1 5 ^{2} - 4 \cdot 1 \cdot ( - 34 )}{2 \cdot 1}

1 5^{2} - 4 \cdot 1 \cdot (- 34) = 19

x_{1, 2} = \frac{- 15 \pm 19}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 15 + 19}{2 \cdot 1}, x_{2} = \frac{- 15 - 19}{2 \cdot 1}

x = \frac{- 15 + 19}{2 \cdot 1} : 2

x = \frac{- 15 - 19}{2 \cdot 1} : - 17

The solutions to the quadratic equation are:

x = 2, x = - 17

4 x^{2} + 15 x - 105 = x^{2} + 3

317 = 13 t^{2} - 268

3 x (x - 3) = 6 x^{2} - 10 x

e^{2} = - 7 e + 30

g^{2} - 9 g - 65 = 5

What are the solutions to the equation (x+8)(x+7)=90 ?
The solutions to the equation (x+8)(x+7)=90 are x=2,x=-17
Find the zeros of (x+8)(x+7)=90
The zeros of (x+8)(x+7)=90 are x=2,x=-17