What are the solutions to the equation 5x^2-8x+16=0 ?

The solutions to the equation 5x^2-8x+16=0 are x= 4/5+i 8/5 ,x= 4/5-i 8/5

Find the zeros of 5x^2-8x+16=0

The zeros of 5x^2-8x+16=0 are x= 4/5+i 8/5 ,x= 4/5-i 8/5

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5 x^{2} - 8 x + 16 = 0

x = \frac{4}{5} + i \frac{8}{5}, x = \frac{4}{5} - i \frac{8}{5}

Solution steps

5 x^{2} - 8 x + 16 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 \cdot 5 \cdot 16}{2 \cdot 5}

Simplify

(- 8)^{2} - 4 \cdot 5 \cdot 16 : 16 i

x_{1, 2} = \frac{- ( - 8 ) \pm 16 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 16 i}{2 \cdot 5}, x_{2} = \frac{- ( - 8 ) - 16 i}{2 \cdot 5}

x = \frac{- ( - 8 ) + 16 i}{2 \cdot 5} : \frac{4}{5} + i \frac{8}{5}

x = \frac{- ( - 8 ) - 16 i}{2 \cdot 5} : \frac{4}{5} - i \frac{8}{5}

The solutions to the quadratic equation are:

x = \frac{4}{5} + i \frac{8}{5}, x = \frac{4}{5} - i \frac{8}{5}

\frac{1}{5} k (k + 4) = 0.5

w^{2} + 4 w = 0

x^{2} - 2 = 8

x^{2} + x - 56 = 0

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

What are the solutions to the equation 5x^2-8x+16=0 ?
The solutions to the equation 5x^2-8x+16=0 are x= 4/5+i 8/5 ,x= 4/5-i 8/5
Find the zeros of 5x^2-8x+16=0
The zeros of 5x^2-8x+16=0 are x= 4/5+i 8/5 ,x= 4/5-i 8/5