What are the solutions to the equation 4x^2-5x+10=0 ?

The solutions to the equation 4x^2-5x+10=0 are x= 5/8+i(3sqrt(15))/8 ,x= 5/8-i(3sqrt(15))/8

Find the zeros of 4x^2-5x+10=0

The zeros of 4x^2-5x+10=0 are x= 5/8+i(3sqrt(15))/8 ,x= 5/8-i(3sqrt(15))/8

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

x = \frac{5}{8} + i \frac{3 15}{8}, x = \frac{5}{8} - i \frac{3 15}{8}

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 5)^{2} - 4 \cdot 4 \cdot 10 : 315 i

x_{1, 2} = \frac{- ( - 5 ) \pm 3 15 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 5 ) + 3 15 i}{2 \cdot 4}, x_{2} = \frac{- ( - 5 ) - 3 15 i}{2 \cdot 4}

x = \frac{- ( - 5 ) + 3 15 i}{2 \cdot 4} : \frac{5}{8} + i \frac{3 15}{8}

x = \frac{- ( - 5 ) - 3 15 i}{2 \cdot 4} : \frac{5}{8} - i \frac{3 15}{8}

The solutions to the quadratic equation are:

x = \frac{5}{8} + i \frac{3 15}{8}, x = \frac{5}{8} - i \frac{3 15}{8}

\frac{2 ^{5}}{3}

- \frac{113}{( 0 + 6 ) ^{2}}

- 4 (5 x + 2) + 2 x + 4 = 50

\frac{2 3 + 5 2}{3 3 - 2 2}

5 n^{2} + 4 n - 10305

What are the solutions to the equation 4x^2-5x+10=0 ?
The solutions to the equation 4x^2-5x+10=0 are x= 5/8+i(3sqrt(15))/8 ,x= 5/8-i(3sqrt(15))/8
Find the zeros of 4x^2-5x+10=0
The zeros of 4x^2-5x+10=0 are x= 5/8+i(3sqrt(15))/8 ,x= 5/8-i(3sqrt(15))/8