What are the solutions to the equation x^2=20x-100 ?

The solutions to the equation x^2=20x-100 are x=10

Find the zeros of x^2=20x-100

The zeros of x^2=20x-100 are x=10

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x^{2} = 20 x - 100

x = 10

Solution steps

x^{2} = 20 x - 100

Move

100

to the left side

x^{2} + 100 = 20 x

Move

20 x

to the left side

x^{2} + 100 - 20 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 20 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

(- 20)^{2} - 4 \cdot 1 \cdot 100 = 0

x_{1, 2} = \frac{- ( - 20 ) \pm 0}{2 \cdot 1}

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

\frac{- ( - 20 )}{2 \cdot 1} = 10

x = 10

The solution to the quadratic equation is:

x = 10

3 x^{2} - 5 x + 2 = 0

8^{2} + 1 6^{2} = x^{2}

5 x^{2} + x = - 1

2 x^{2} + 24 = - 264

x^{2} - 3 x - 10 = 0

What are the solutions to the equation x^2=20x-100 ?
The solutions to the equation x^2=20x-100 are x=10
Find the zeros of x^2=20x-100
The zeros of x^2=20x-100 are x=10