What are the solutions to the equation 5x^2-10x+11=0 ?

The solutions to the equation 5x^2-10x+11=0 are x=1+isqrt(6/5),x=1-isqrt(6/5)

Find the zeros of 5x^2-10x+11=0

The zeros of 5x^2-10x+11=0 are x=1+isqrt(6/5),x=1-isqrt(6/5)

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5 x^{2} - 10 x + 11 = 0

x = 1 + i \frac{6}{5}, x = 1 - i \frac{6}{5}

Solution steps

5 x^{2} - 10 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 5 \cdot 11}{2 \cdot 5}

Simplify

(- 10)^{2} - 4 \cdot 5 \cdot 11 : 230 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 30 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 30 i}{2 \cdot 5}, x_{2} = \frac{- ( - 10 ) - 2 30 i}{2 \cdot 5}

x = \frac{- ( - 10 ) + 2 30 i}{2 \cdot 5} : 1 + i \frac{6}{5}

x = \frac{- ( - 10 ) - 2 30 i}{2 \cdot 5} : 1 - i \frac{6}{5}

The solutions to the quadratic equation are:

x = 1 + i \frac{6}{5}, x = 1 - i \frac{6}{5}

2 w^{2} + 5 w - 16 = (w + 2)^{2}

10 x^{2} - x = - x + 50

u^{2} + 14 u

b^{2} = 1

(2 x + 3) (3 x - 2) = 0

What are the solutions to the equation 5x^2-10x+11=0 ?
The solutions to the equation 5x^2-10x+11=0 are x=1+isqrt(6/5),x=1-isqrt(6/5)
Find the zeros of 5x^2-10x+11=0
The zeros of 5x^2-10x+11=0 are x=1+isqrt(6/5),x=1-isqrt(6/5)