What are the solutions to the equation 1/3 x^2-5x+25=0 ?

The solutions to the equation 1/3 x^2-5x+25=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2

Find the zeros of 1/3 x^2-5x+25=0

The zeros of 1/3 x^2-5x+25=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2

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\frac{1}{3} x^{2} - 5 x + 25 = 0

x = \frac{15}{2} + i \frac{5 3}{2}, x = \frac{15}{2} - i \frac{5 3}{2}

Solution steps

\frac{1}{3} x^{2} - 5 x + 25 = 0

Multiply both sides by

3

x^{2} - 15 x + 75 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 15 ) \pm ( - 15 ) ^{2} - 4 \cdot 1 \cdot 75}{2 \cdot 1}

Simplify

(- 15)^{2} - 4 \cdot 1 \cdot 75 : 53 i

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

Separate the solutions

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

x = \frac{- ( - 15 ) + 5 3 i}{2 \cdot 1} : \frac{15}{2} + i \frac{5 3}{2}

x = \frac{- ( - 15 ) - 5 3 i}{2 \cdot 1} : \frac{15}{2} - i \frac{5 3}{2}

The solutions to the quadratic equation are:

x = \frac{15}{2} + i \frac{5 3}{2}, x = \frac{15}{2} - i \frac{5 3}{2}

(6 + y)^{2} + y^{2} = 218

2 x^{2} - 4 x - 8 = - x^{2} + x

4 x^{2} + 9 = 73

2 x^{2} + 3 = - 7 x

x + x^{2} = 15

What are the solutions to the equation 1/3 x^2-5x+25=0 ?
The solutions to the equation 1/3 x^2-5x+25=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2
Find the zeros of 1/3 x^2-5x+25=0
The zeros of 1/3 x^2-5x+25=0 are x= 15/2+i(5sqrt(3))/2 ,x= 15/2-i(5sqrt(3))/2