What are the solutions to the equation 5x^2+30x+24=64 ?

The solutions to the equation 5x^2+30x+24=64 are x=-3+sqrt(17),x=-3-sqrt(17)

Find the zeros of 5x^2+30x+24=64

The zeros of 5x^2+30x+24=64 are x=-3+sqrt(17),x=-3-sqrt(17)

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5 x^{2} + 30 x + 24 = 64

x = - 3 + 17, x = - 3 - 17

Decimal Notation

x = 1.12310 \dots, x = - 7.12310 \dots

Solution steps

5 x^{2} + 30 x + 24 = 64

Move

64

to the left side

5 x^{2} + 30 x - 40 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 30 \pm 3 0 ^{2} - 4 \cdot 5 ( - 40 )}{2 \cdot 5}

3 0^{2} - 4 \cdot 5 (- 40) = 1017

x_{1, 2} = \frac{- 30 \pm 10 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 30 + 10 17}{2 \cdot 5}, x_{2} = \frac{- 30 - 10 17}{2 \cdot 5}

x = \frac{- 30 + 10 17}{2 \cdot 5} : - 3 + 17

x = \frac{- 30 - 10 17}{2 \cdot 5} : - 3 - 17

The solutions to the quadratic equation are:

x = - 3 + 17, x = - 3 - 17

6 x^{2} - 25 x + 24 = 0

t, y = v t + \frac{1}{2} a t^{2}

x^{2} + 11 x - 276 = 0

9 x^{2} - 121 = 0

x^{2} + 8 x + c = 0

What are the solutions to the equation 5x^2+30x+24=64 ?
The solutions to the equation 5x^2+30x+24=64 are x=-3+sqrt(17),x=-3-sqrt(17)
Find the zeros of 5x^2+30x+24=64
The zeros of 5x^2+30x+24=64 are x=-3+sqrt(17),x=-3-sqrt(17)