What are the solutions to the equation 5x^2-20x=15 ?

The solutions to the equation 5x^2-20x=15 are x=2+sqrt(7),x=2-sqrt(7)

Find the zeros of 5x^2-20x=15

The zeros of 5x^2-20x=15 are x=2+sqrt(7),x=2-sqrt(7)

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5 x^{2} - 20 x = 15

x = 2 + 7, x = 2 - 7

Decimal Notation

x = 4.64575 \dots, x = - 0.64575 \dots

Solution steps

5 x^{2} - 20 x = 15

Move

15

to the left side

5 x^{2} - 20 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 5 ( - 15 )}{2 \cdot 5}

(- 20)^{2} - 4 \cdot 5 (- 15) = 107

x_{1, 2} = \frac{- ( - 20 ) \pm 10 7}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 10 7}{2 \cdot 5}, x_{2} = \frac{- ( - 20 ) - 10 7}{2 \cdot 5}

x = \frac{- ( - 20 ) + 10 7}{2 \cdot 5} : 2 + 7

x = \frac{- ( - 20 ) - 10 7}{2 \cdot 5} : 2 - 7

The solutions to the quadratic equation are:

x = 2 + 7, x = 2 - 7

s^{2} + 60 s + 150 = 0

- 2 x^{2} + 11 x + 30 = 0

x^{2} + 8 x = 9

x^{2} + 6 x + 5 = 0

- 12 x^{2} - 84 x - 144 = 0

What are the solutions to the equation 5x^2-20x=15 ?
The solutions to the equation 5x^2-20x=15 are x=2+sqrt(7),x=2-sqrt(7)
Find the zeros of 5x^2-20x=15
The zeros of 5x^2-20x=15 are x=2+sqrt(7),x=2-sqrt(7)