What are the solutions to the equation 5x^2-20x=65 ?

The solutions to the equation 5x^2-20x=65 are x=2+sqrt(17),x=2-sqrt(17)

Find the zeros of 5x^2-20x=65

The zeros of 5x^2-20x=65 are x=2+sqrt(17),x=2-sqrt(17)

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5 x^{2} - 20 x = 65

x = 2 + 17, x = 2 - 17

Decimal Notation

x = 6.12310 \dots, x = - 2.12310 \dots

Solution steps

5 x^{2} - 20 x = 65

Move

65

to the left side

5 x^{2} - 20 x - 65 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 5 ( - 65 )}{2 \cdot 5}

(- 20)^{2} - 4 \cdot 5 (- 65) = 1017

x_{1, 2} = \frac{- ( - 20 ) \pm 10 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 10 17}{2 \cdot 5}, x_{2} = \frac{- ( - 20 ) - 10 17}{2 \cdot 5}

x = \frac{- ( - 20 ) + 10 17}{2 \cdot 5} : 2 + 17

x = \frac{- ( - 20 ) - 10 17}{2 \cdot 5} : 2 - 17

The solutions to the quadratic equation are:

x = 2 + 17, x = 2 - 17

1 - \frac{25}{169}

∣ 2 x + 7 ∣ - 3 \geq 0

3 (x - 2)^{2} = 9

x^{2} + 6 x

(5 x - 2)^{2} = 25

What are the solutions to the equation 5x^2-20x=65 ?
The solutions to the equation 5x^2-20x=65 are x=2+sqrt(17),x=2-sqrt(17)
Find the zeros of 5x^2-20x=65
The zeros of 5x^2-20x=65 are x=2+sqrt(17),x=2-sqrt(17)