What are the solutions to the equation w(w+6)=91 ?

The solutions to the equation w(w+6)=91 are w=7,w=-13

Find the zeros of w(w+6)=91

The zeros of w(w+6)=91 are w=7,w=-13

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w (w + 6) = 91

w = 7, w = - 13

Solution steps

w (w + 6) = 91

Expand

w (w + 6) : w^{2} + 6 w

w^{2} + 6 w = 91

Move

91

to the left side

w^{2} + 6 w - 91 = 0

Solve with the quadratic formula

w_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 91 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 91) = 20

w_{1, 2} = \frac{- 6 \pm 20}{2 \cdot 1}

Separate the solutions

w_{1} = \frac{- 6 + 20}{2 \cdot 1}, w_{2} = \frac{- 6 - 20}{2 \cdot 1}

w = \frac{- 6 + 20}{2 \cdot 1} : 7

w = \frac{- 6 - 20}{2 \cdot 1} : - 13

The solutions to the quadratic equation are:

w = 7, w = - 13

2 (3 y + 8) = 40

169 m^{2} - 4 u^{2}

- 3 (x + 2) \leq 5 x + 9

5 x + 12 \leq 32 or 6 + 10 x \geq 96

7 k - 3 = 11

What are the solutions to the equation w(w+6)=91 ?
The solutions to the equation w(w+6)=91 are w=7,w=-13
Find the zeros of w(w+6)=91
The zeros of w(w+6)=91 are w=7,w=-13