What are the solutions to the equation 5x^2-25=10x ?

The solutions to the equation 5x^2-25=10x are x=1+sqrt(6),x=1-sqrt(6)

Find the zeros of 5x^2-25=10x

The zeros of 5x^2-25=10x are x=1+sqrt(6),x=1-sqrt(6)

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5 x^{2} - 25 = 10 x

x = 1 + 6, x = 1 - 6

Decimal

x = 3.44948 \dots, x = - 1.44948 \dots

Solution steps

5 x^{2} - 25 = 10 x

Move

10 x

to the left side

5 x^{2} - 25 - 10 x = 0

Write in the standard form

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

5 x^{2} - 10 x - 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 25 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 25) = 106

x_{1, 2} = \frac{- ( - 10 ) \pm 10 6}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 10 6}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 10 6}{2 \cdot 5}

x = \frac{- ( - 10 ) + 10 6}{2 \cdot 5} : 1 + 6

x = \frac{- ( - 10 ) - 10 6}{2 \cdot 5} : 1 - 6

The solutions to the quadratic equation are:

x = 1 + 6, x = 1 - 6

16 t^{2} - 72 t + 81 = 0

x^{2} + 20 x = - 94

s^{2} + s + 2

20 x = - 5 x^{2}

9 W^{2} - 27 W + 20 = 0

What are the solutions to the equation 5x^2-25=10x ?
The solutions to the equation 5x^2-25=10x are x=1+sqrt(6),x=1-sqrt(6)
Find the zeros of 5x^2-25=10x
The zeros of 5x^2-25=10x are x=1+sqrt(6),x=1-sqrt(6)