What are the solutions to the equation 5x^2-20=10x ?

The solutions to the equation 5x^2-20=10x are x=1+sqrt(5),x=1-sqrt(5)

Find the zeros of 5x^2-20=10x

The zeros of 5x^2-20=10x are x=1+sqrt(5),x=1-sqrt(5)

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5 x^{2} - 20 = 10 x

x = 1 + 5, x = 1 - 5

Decimal Notation

x = 3.23606 \dots, x = - 1.23606 \dots

Solution steps

5 x^{2} - 20 = 10 x

Move

10 x

to the left side

5 x^{2} - 20 - 10 x = 0

Write in the standard form

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

5 x^{2} - 10 x - 20 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 ( - 20 )}{2 \cdot 5}

(- 10)^{2} - 4 \cdot 5 (- 20) = 105

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1 + 5, x = 1 - 5

52 - x^{2} = - 4

y^{2} + 5 = 0

4 x^{2} + 31 x - 8 = 0

20 x^{2} + 10 x + 5 = 11 x + 6

(3 + x) \frac{2}{5} + 6 (3 - x) \frac{2}{5} = 5 (9 - x^{2}) \frac{1}{5}

What are the solutions to the equation 5x^2-20=10x ?
The solutions to the equation 5x^2-20=10x are x=1+sqrt(5),x=1-sqrt(5)
Find the zeros of 5x^2-20=10x
The zeros of 5x^2-20=10x are x=1+sqrt(5),x=1-sqrt(5)