What are the solutions to the equation 5x^2-30x+85=0 ?

The solutions to the equation 5x^2-30x+85=0 are x=3+2sqrt(2)i,x=3-2sqrt(2)i

Find the zeros of 5x^2-30x+85=0

The zeros of 5x^2-30x+85=0 are x=3+2sqrt(2)i,x=3-2sqrt(2)i

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5 x^{2} - 30 x + 85 = 0

x = 3 + 22 i, x = 3 - 22 i

Solution steps

5 x^{2} - 30 x + 85 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 5 \cdot 85}{2 \cdot 5}

Simplify

(- 30)^{2} - 4 \cdot 5 \cdot 85 : 202 i

x_{1, 2} = \frac{- ( - 30 ) \pm 20 2 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 30 ) + 20 2 i}{2 \cdot 5}, x_{2} = \frac{- ( - 30 ) - 20 2 i}{2 \cdot 5}

x = \frac{- ( - 30 ) + 20 2 i}{2 \cdot 5} : 3 + 22 i

x = \frac{- ( - 30 ) - 20 2 i}{2 \cdot 5} : 3 - 22 i

The solutions to the quadratic equation are:

x = 3 + 22 i, x = 3 - 22 i

x^{2} + 2 x - 1

x^{2} + 3 = 7

x, z = x^{2} + 4 y^{2}

x^{2} + 10 x + 1 = 24

y, x^{2} + y^{2} + 3 x + y + 10 = 0

What are the solutions to the equation 5x^2-30x+85=0 ?
The solutions to the equation 5x^2-30x+85=0 are x=3+2sqrt(2)i,x=3-2sqrt(2)i
Find the zeros of 5x^2-30x+85=0
The zeros of 5x^2-30x+85=0 are x=3+2sqrt(2)i,x=3-2sqrt(2)i