What are the solutions to the equation 4x^2-12x+11=0 ?

The solutions to the equation 4x^2-12x+11=0 are x= 3/2+i(sqrt(2))/2 ,x= 3/2-i(sqrt(2))/2

Find the zeros of 4x^2-12x+11=0

The zeros of 4x^2-12x+11=0 are x= 3/2+i(sqrt(2))/2 ,x= 3/2-i(sqrt(2))/2

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4 x^{2} - 12 x + 11 = 0

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

Solution steps

4 x^{2} - 12 x + 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 4 \cdot 11}{2 \cdot 4}

Simplify

(- 12)^{2} - 4 \cdot 4 \cdot 11 : 42 i

x_{1, 2} = \frac{- ( - 12 ) \pm 4 2 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 4 2 i}{2 \cdot 4}, x_{2} = \frac{- ( - 12 ) - 4 2 i}{2 \cdot 4}

x = \frac{- ( - 12 ) + 4 2 i}{2 \cdot 4} : \frac{3}{2} + i \frac{2}{2}

x = \frac{- ( - 12 ) - 4 2 i}{2 \cdot 4} : \frac{3}{2} - i \frac{2}{2}

The solutions to the quadratic equation are:

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

10 y - 14 \geq - 13

\frac{5}{2} \cdot \frac{4}{9}

\frac{1}{2} x - 4 \leq - 9 - \frac{1}{3} x

1 - (- \frac{2}{3})

x^{2} + 8 x + 20 = 0

What are the solutions to the equation 4x^2-12x+11=0 ?
The solutions to the equation 4x^2-12x+11=0 are x= 3/2+i(sqrt(2))/2 ,x= 3/2-i(sqrt(2))/2
Find the zeros of 4x^2-12x+11=0
The zeros of 4x^2-12x+11=0 are x= 3/2+i(sqrt(2))/2 ,x= 3/2-i(sqrt(2))/2