What are the solutions to the equation x(x-6)=91 ?

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

Find the zeros of x(x-6)=91

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

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x (x - 6) = 91

x = 13, x = - 7

Solution steps

x (x - 6) = 91

Expand

x (x - 6) : x^{2} - 6 x

x^{2} - 6 x = 91

Move

91

to the left side

x^{2} - 6 x - 91 = 0

Solve with the quadratic formula

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

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

x_{1, 2} = \frac{- ( - 6 ) \pm 20}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 20}{2 \cdot 1}, x_{2} = \frac{- ( - 6 ) - 20}{2 \cdot 1}

x = \frac{- ( - 6 ) + 20}{2 \cdot 1} : 13

x = \frac{- ( - 6 ) - 20}{2 \cdot 1} : - 7

The solutions to the quadratic equation are:

x = 13, x = - 7

7 x - 7 = 17 - 7 x

- 9 - (- 5)

8 (16)^{\frac{7}{4}}

2 7^{\frac{1}{2}}

x^{4} + 10 x^{2} + 16

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