What are the solutions to the equation 5x^2-60x+360=0 ?

The solutions to the equation 5x^2-60x+360=0 are x=6+6i,x=6-6i

Find the zeros of 5x^2-60x+360=0

The zeros of 5x^2-60x+360=0 are x=6+6i,x=6-6i

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5 x^{2} - 60 x + 360 = 0

x = 6 + 6 i, x = 6 - 6 i

Solution steps

5 x^{2} - 60 x + 360 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 60 ) \pm ( - 60 ) ^{2} - 4 \cdot 5 \cdot 360}{2 \cdot 5}

Simplify

(- 60)^{2} - 4 \cdot 5 \cdot 360 : 60 i

x_{1, 2} = \frac{- ( - 60 ) \pm 60 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 60 ) + 60 i}{2 \cdot 5}, x_{2} = \frac{- ( - 60 ) - 60 i}{2 \cdot 5}

x = \frac{- ( - 60 ) + 60 i}{2 \cdot 5} : 6 + 6 i

x = \frac{- ( - 60 ) - 60 i}{2 \cdot 5} : 6 - 6 i

The solutions to the quadratic equation are:

x = 6 + 6 i, x = 6 - 6 i

1 + x + x^{2} = 0

2 x^{2} + 5 x - 3 = 0

x^{2} - 10 x + 26

4 x^{2} - 64 = 17

x^{2} + 10 x + 32 = 0

What are the solutions to the equation 5x^2-60x+360=0 ?
The solutions to the equation 5x^2-60x+360=0 are x=6+6i,x=6-6i
Find the zeros of 5x^2-60x+360=0
The zeros of 5x^2-60x+360=0 are x=6+6i,x=6-6i