What are the solutions to the equation x^2+5=3x ?

The solutions to the equation x^2+5=3x are x= 3/2+i(sqrt(11))/2 ,x= 3/2-i(sqrt(11))/2

Find the zeros of x^2+5=3x

The zeros of x^2+5=3x are x= 3/2+i(sqrt(11))/2 ,x= 3/2-i(sqrt(11))/2

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x^{2} + 5 = 3 x

x = \frac{3}{2} + i \frac{11}{2}, x = \frac{3}{2} - i \frac{11}{2}

Solution steps

x^{2} + 5 = 3 x

Move

3 x

to the left side

x^{2} + 5 - 3 x = 0

Write in the standard form

a x^{2} + b x + c = 0

x^{2} - 3 x + 5 = 0

Solve with the quadratic formula

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

Simplify

(- 3)^{2} - 4 \cdot 1 \cdot 5 : 11 i

x_{1, 2} = \frac{- ( - 3 ) \pm 11 i}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 11 i}{2 \cdot 1}, x_{2} = \frac{- ( - 3 ) - 11 i}{2 \cdot 1}

x = \frac{- ( - 3 ) + 11 i}{2 \cdot 1} : \frac{3}{2} + i \frac{11}{2}

x = \frac{- ( - 3 ) - 11 i}{2 \cdot 1} : \frac{3}{2} - i \frac{11}{2}

The solutions to the quadratic equation are:

x = \frac{3}{2} + i \frac{11}{2}, x = \frac{3}{2} - i \frac{11}{2}

9 x^{2} - 36 x

3 m^{2} + 15 m + 21 = 4

7 x^{2} = 4 x - 1

(5 x + 6) (4 x - 5) = (5 x + 6) (x + 10) - 42 x

x^{2} - 6 x - 135 = 0

What are the solutions to the equation x^2+5=3x ?
The solutions to the equation x^2+5=3x are x= 3/2+i(sqrt(11))/2 ,x= 3/2-i(sqrt(11))/2
Find the zeros of x^2+5=3x
The zeros of x^2+5=3x are x= 3/2+i(sqrt(11))/2 ,x= 3/2-i(sqrt(11))/2