What are the solutions to the equation x(x-1)=90 ?

The solutions to the equation x(x-1)=90 are x=10,x=-9

Find the zeros of x(x-1)=90

The zeros of x(x-1)=90 are x=10,x=-9

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x (x - 1) = 90

x = 10, x = - 9

Solution steps

x (x - 1) = 90

Expand

x (x - 1) : x^{2} - x

x^{2} - x = 90

Move

90

to the left side

x^{2} - x - 90 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 1 ) \pm ( - 1 ) ^{2} - 4 \cdot 1 \cdot ( - 90 )}{2 \cdot 1}

(- 1)^{2} - 4 \cdot 1 \cdot (- 90) = 19

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

Separate the solutions

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

x = \frac{- ( - 1 ) + 19}{2 \cdot 1} : 10

x = \frac{- ( - 1 ) - 19}{2 \cdot 1} : - 9

The solutions to the quadratic equation are:

x = 10, x = - 9

0 = - 5 t^{2} + 30 t + 10

x^{2} - 14 x - 5 = 0

72 = a \cdot 2 x^{2}

6 x - 5 = - x^{2}

- 3 x^{2} = - 108

What are the solutions to the equation x(x-1)=90 ?
The solutions to the equation x(x-1)=90 are x=10,x=-9
Find the zeros of x(x-1)=90
The zeros of x(x-1)=90 are x=10,x=-9