What are the solutions to the equation 4x^2-10x+7=0 ?

The solutions to the equation 4x^2-10x+7=0 are x= 5/4+i(sqrt(3))/4 ,x= 5/4-i(sqrt(3))/4

Find the zeros of 4x^2-10x+7=0

The zeros of 4x^2-10x+7=0 are x= 5/4+i(sqrt(3))/4 ,x= 5/4-i(sqrt(3))/4

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4 x^{2} - 10 x + 7 = 0

x = \frac{5}{4} + i \frac{3}{4}, x = \frac{5}{4} - i \frac{3}{4}

Solution steps

4 x^{2} - 10 x + 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 \cdot 4 \cdot 7}{2 \cdot 4}

Simplify

(- 10)^{2} - 4 \cdot 4 \cdot 7 : 23 i

x_{1, 2} = \frac{- ( - 10 ) \pm 2 3 i}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 2 3 i}{2 \cdot 4}, x_{2} = \frac{- ( - 10 ) - 2 3 i}{2 \cdot 4}

x = \frac{- ( - 10 ) + 2 3 i}{2 \cdot 4} : \frac{5}{4} + i \frac{3}{4}

x = \frac{- ( - 10 ) - 2 3 i}{2 \cdot 4} : \frac{5}{4} - i \frac{3}{4}

The solutions to the quadratic equation are:

x = \frac{5}{4} + i \frac{3}{4}, x = \frac{5}{4} - i \frac{3}{4}

x^{2} = 0.16

x^{2} = 99

x^{2} = 94

s, t (s t^{2} + 2 t + s) d s + s^{2} (1 - t^{2}) d t = 0

x, x^{2} + y^{2} + 2 x + 2 y + 34 = 0

What are the solutions to the equation 4x^2-10x+7=0 ?
The solutions to the equation 4x^2-10x+7=0 are x= 5/4+i(sqrt(3))/4 ,x= 5/4-i(sqrt(3))/4
Find the zeros of 4x^2-10x+7=0
The zeros of 4x^2-10x+7=0 are x= 5/4+i(sqrt(3))/4 ,x= 5/4-i(sqrt(3))/4