What are the solutions to the equation 2x^2-9x+13=0 ?

The solutions to the equation 2x^2-9x+13=0 are x= 9/4+i(sqrt(23))/4 ,x= 9/4-i(sqrt(23))/4

Find the zeros of 2x^2-9x+13=0

The zeros of 2x^2-9x+13=0 are x= 9/4+i(sqrt(23))/4 ,x= 9/4-i(sqrt(23))/4

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2 x^{2} - 9 x + 13 = 0

x = \frac{9}{4} + i \frac{23}{4}, x = \frac{9}{4} - i \frac{23}{4}

Solution steps

2 x^{2} - 9 x + 13 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 2 \cdot 13}{2 \cdot 2}

Simplify

(- 9)^{2} - 4 \cdot 2 \cdot 13 : 23 i

x_{1, 2} = \frac{- ( - 9 ) \pm 23 i}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 23 i}{2 \cdot 2}, x_{2} = \frac{- ( - 9 ) - 23 i}{2 \cdot 2}

x = \frac{- ( - 9 ) + 23 i}{2 \cdot 2} : \frac{9}{4} + i \frac{23}{4}

x = \frac{- ( - 9 ) - 23 i}{2 \cdot 2} : \frac{9}{4} - i \frac{23}{4}

The solutions to the quadratic equation are:

x = \frac{9}{4} + i \frac{23}{4}, x = \frac{9}{4} - i \frac{23}{4}

5 x^{2} + 7 = - 60

3 x^{2} - 2 x - 1

(x + 5)^{2} = 2 (x + 9)

x^{2} - 3 x - 10 = 0

\frac{1}{8} x^{2} = x + 16

What are the solutions to the equation 2x^2-9x+13=0 ?
The solutions to the equation 2x^2-9x+13=0 are x= 9/4+i(sqrt(23))/4 ,x= 9/4-i(sqrt(23))/4
Find the zeros of 2x^2-9x+13=0
The zeros of 2x^2-9x+13=0 are x= 9/4+i(sqrt(23))/4 ,x= 9/4-i(sqrt(23))/4