What are the solutions to the equation 4a^2+120a-70520=0 ?

The solutions to the equation 4a^2+120a-70520=0 are a=-15+sqrt(17855),a=-15-sqrt(17855)

Find the zeros of 4a^2+120a-70520=0

The zeros of 4a^2+120a-70520=0 are a=-15+sqrt(17855),a=-15-sqrt(17855)

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4 a^{2} + 120 a - 70520 = 0

a = - 15 + 17855, a = - 15 - 17855

Decimal

a = 118.62260 \dots, a = - 148.62260 \dots

Solution steps

4 a^{2} + 120 a - 70520 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 120 \pm 12 0 ^{2} - 4 \cdot 4 ( - 70520 )}{2 \cdot 4}

12 0^{2} - 4 \cdot 4 (- 70520) = 817855

a_{1, 2} = \frac{- 120 \pm 8 17855}{2 \cdot 4}

Separate the solutions

a_{1} = \frac{- 120 + 8 17855}{2 \cdot 4}, a_{2} = \frac{- 120 - 8 17855}{2 \cdot 4}

a = \frac{- 120 + 8 17855}{2 \cdot 4} : - 15 + 17855

a = \frac{- 120 - 8 17855}{2 \cdot 4} : - 15 - 17855

The solutions to the quadratic equation are:

a = - 15 + 17855, a = - 15 - 17855

x^{2} - 10 x + 25

2 x^{2} - 80 = - 12 x

4 x^{2} + 4 x + 1

(x - 3)^{2} = 121

x^{2} + 10 x + 98 = 0

What are the solutions to the equation 4a^2+120a-70520=0 ?
The solutions to the equation 4a^2+120a-70520=0 are a=-15+sqrt(17855),a=-15-sqrt(17855)
Find the zeros of 4a^2+120a-70520=0
The zeros of 4a^2+120a-70520=0 are a=-15+sqrt(17855),a=-15-sqrt(17855)