What are the solutions to the equation x(x-21)=100 ?

The solutions to the equation x(x-21)=100 are x=25,x=-4

Find the zeros of x(x-21)=100

The zeros of x(x-21)=100 are x=25,x=-4

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x (x - 21) = 100

x = 25, x = - 4

Solution steps

x (x - 21) = 100

Expand

x (x - 21) : x^{2} - 21 x

x^{2} - 21 x = 100

Move

100

to the left side

x^{2} - 21 x - 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 21 ) \pm ( - 21 ) ^{2} - 4 \cdot 1 \cdot ( - 100 )}{2 \cdot 1}

(- 21)^{2} - 4 \cdot 1 \cdot (- 100) = 29

x_{1, 2} = \frac{- ( - 21 ) \pm 29}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 21 ) + 29}{2 \cdot 1}, x_{2} = \frac{- ( - 21 ) - 29}{2 \cdot 1}

x = \frac{- ( - 21 ) + 29}{2 \cdot 1} : 25

x = \frac{- ( - 21 ) - 29}{2 \cdot 1} : - 4

The solutions to the quadratic equation are:

x = 25, x = - 4

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What are the solutions to the equation x(x-21)=100 ?
The solutions to the equation x(x-21)=100 are x=25,x=-4
Find the zeros of x(x-21)=100
The zeros of x(x-21)=100 are x=25,x=-4