What are the solutions to the equation 10x-5/2 x^2=10 ?

The solutions to the equation 10x-5/2 x^2=10 are x=2

Find the zeros of 10x-5/2 x^2=10

The zeros of 10x-5/2 x^2=10 are x=2

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10 x - \frac{5}{2} x^{2} = 10

x = 2

Solution steps

10 x - \frac{5}{2} x^{2} = 10

Multiply both sides by

2

20 x - 5 x^{2} = 20

Move

20

to the left side

20 x - 5 x^{2} - 20 = 0

Write in the standard form

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

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 20 \pm 2 0 ^{2} - 4 ( - 5 ) ( - 20 )}{2 ( - 5 )}

2 0^{2} - 4 (- 5) (- 20) = 0

x_{1, 2} = \frac{- 20 \pm 0}{2 ( - 5 )}

x = \frac{- 20}{2 ( - 5 )}

\frac{- 20}{2 ( - 5 )} = 2

x = 2

The solution to the quadratic equation is:

x = 2

x^{2} + 1.2 x + 1 = 0

h = \frac{( s ^{2} )}{b}

y, x^{2} y - x y^{2} = 2

4 x^{2} + 3 x + 3 = 4

4 w^{2} + 20 w + 25 = 0

What are the solutions to the equation 10x-5/2 x^2=10 ?
The solutions to the equation 10x-5/2 x^2=10 are x=2
Find the zeros of 10x-5/2 x^2=10
The zeros of 10x-5/2 x^2=10 are x=2