What are the solutions to the equation 4x^2-20x+100=0 ?

The solutions to the equation 4x^2-20x+100=0 are x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2

Find the zeros of 4x^2-20x+100=0

The zeros of 4x^2-20x+100=0 are x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2

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4 x^{2} - 20 x + 100 = 0

x = \frac{5}{2} + i \frac{5 3}{2}, x = \frac{5}{2} - i \frac{5 3}{2}

Solution steps

4 x^{2} - 20 x + 100 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 4 \cdot 100}{2 \cdot 4}

Simplify

(- 20)^{2} - 4 \cdot 4 \cdot 100 : 203 i

x_{1, 2} = \frac{- ( - 20 ) \pm 20 3 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 20 ) + 20 3 i}{2 \cdot 4}, x_{2} = \frac{- ( - 20 ) - 20 3 i}{2 \cdot 4}

x = \frac{- ( - 20 ) + 20 3 i}{2 \cdot 4} : \frac{5}{2} + i \frac{5 3}{2}

x = \frac{- ( - 20 ) - 20 3 i}{2 \cdot 4} : \frac{5}{2} - i \frac{5 3}{2}

The solutions to the quadratic equation are:

x = \frac{5}{2} + i \frac{5 3}{2}, x = \frac{5}{2} - i \frac{5 3}{2}

8 x^{2} - 6 x - 2 = 0

X^{2} + X - 30 = 0

2 (x^{2} + 2) = 22

6 x^{2} = 4

5 - 6 x + x^{2} = 0

What are the solutions to the equation 4x^2-20x+100=0 ?
The solutions to the equation 4x^2-20x+100=0 are x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2
Find the zeros of 4x^2-20x+100=0
The zeros of 4x^2-20x+100=0 are x= 5/2+i(5sqrt(3))/2 ,x= 5/2-i(5sqrt(3))/2