What are the solutions to the equation 8a^2-120a+576=0 ?

The solutions to the equation 8a^2-120a+576=0 are a= 15/2+i(3sqrt(7))/2 ,a= 15/2-i(3sqrt(7))/2

Find the zeros of 8a^2-120a+576=0

The zeros of 8a^2-120a+576=0 are a= 15/2+i(3sqrt(7))/2 ,a= 15/2-i(3sqrt(7))/2

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8 a^{2} - 120 a + 576 = 0

a = \frac{15}{2} + i \frac{3 7}{2}, a = \frac{15}{2} - i \frac{3 7}{2}

Solution steps

8 a^{2} - 120 a + 576 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- ( - 120 ) \pm ( - 120 ) ^{2} - 4 \cdot 8 \cdot 576}{2 \cdot 8}

Simplify

(- 120)^{2} - 4 \cdot 8 \cdot 576 : 247 i

a_{1, 2} = \frac{- ( - 120 ) \pm 24 7 i}{2 \cdot 8}

Separate the solutions

a_{1} = \frac{- ( - 120 ) + 24 7 i}{2 \cdot 8}, a_{2} = \frac{- ( - 120 ) - 24 7 i}{2 \cdot 8}

a = \frac{- ( - 120 ) + 24 7 i}{2 \cdot 8} : \frac{15}{2} + i \frac{3 7}{2}

a = \frac{- ( - 120 ) - 24 7 i}{2 \cdot 8} : \frac{15}{2} - i \frac{3 7}{2}

The solutions to the quadratic equation are:

a = \frac{15}{2} + i \frac{3 7}{2}, a = \frac{15}{2} - i \frac{3 7}{2}

2 x^{2} + 3 x + 6 = 0

3 x^{2} + x + 7 = 0

6 (- 3 x + 1) = - 17 (x + 1)

\frac{\frac{k ^{2}}{4} - 9}{\frac{k}{6} - 1}

x + 4 = 25

What are the solutions to the equation 8a^2-120a+576=0 ?
The solutions to the equation 8a^2-120a+576=0 are a= 15/2+i(3sqrt(7))/2 ,a= 15/2-i(3sqrt(7))/2
Find the zeros of 8a^2-120a+576=0
The zeros of 8a^2-120a+576=0 are a= 15/2+i(3sqrt(7))/2 ,a= 15/2-i(3sqrt(7))/2