What are the solutions to the equation 5x^2-20x-370=-15 ?

The solutions to the equation 5x^2-20x-370=-15 are x=2+5sqrt(3),x=2-5sqrt(3)

Find the zeros of 5x^2-20x-370=-15

The zeros of 5x^2-20x-370=-15 are x=2+5sqrt(3),x=2-5sqrt(3)

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5 x^{2} - 20 x - 370 = - 15

x = 2 + 53, x = 2 - 53

Decimal Notation

x = 10.66025 \dots, x = - 6.66025 \dots

Solution steps

5 x^{2} - 20 x - 370 = - 15

Move

15

to the left side

5 x^{2} - 20 x - 355 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 5 ( - 355 )}{2 \cdot 5}

(- 20)^{2} - 4 \cdot 5 (- 355) = 503

x_{1, 2} = \frac{- ( - 20 ) \pm 50 3}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 50 3}{2 \cdot 5}, x_{2} = \frac{- ( - 20 ) - 50 3}{2 \cdot 5}

x = \frac{- ( - 20 ) + 50 3}{2 \cdot 5} : 2 + 53

x = \frac{- ( - 20 ) - 50 3}{2 \cdot 5} : 2 - 53

The solutions to the quadratic equation are:

x = 2 + 53, x = 2 - 53

- x^{3} + 21 = 0

10 t - 4 (t + 6) \leq - 10 t - 3 - 10

∣ 5 x - 3 ∣ \leq 12

∣ 2 x - 7 ∣ > 3

\frac{x}{5} = - 9

What are the solutions to the equation 5x^2-20x-370=-15 ?
The solutions to the equation 5x^2-20x-370=-15 are x=2+5sqrt(3),x=2-5sqrt(3)
Find the zeros of 5x^2-20x-370=-15
The zeros of 5x^2-20x-370=-15 are x=2+5sqrt(3),x=2-5sqrt(3)