What are the solutions to the equation y^2-3y+15=0 ?

The solutions to the equation y^2-3y+15=0 are y= 3/2+i(sqrt(51))/2 ,y= 3/2-i(sqrt(51))/2

Find the zeros of y^2-3y+15=0

The zeros of y^2-3y+15=0 are y= 3/2+i(sqrt(51))/2 ,y= 3/2-i(sqrt(51))/2

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y^{2} - 3 y + 15 = 0

y = \frac{3}{2} + i \frac{51}{2}, y = \frac{3}{2} - i \frac{51}{2}

Solution steps

y^{2} - 3 y + 15 = 0

Solve with the quadratic formula

y_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 1 \cdot 15}{2 \cdot 1}

Simplify

(- 3)^{2} - 4 \cdot 1 \cdot 15 : 51 i

y_{1, 2} = \frac{- ( - 3 ) \pm 51 i}{2 \cdot 1}

Separate the solutions

y_{1} = \frac{- ( - 3 ) + 51 i}{2 \cdot 1}, y_{2} = \frac{- ( - 3 ) - 51 i}{2 \cdot 1}

y = \frac{- ( - 3 ) + 51 i}{2 \cdot 1} : \frac{3}{2} + i \frac{51}{2}

y = \frac{- ( - 3 ) - 51 i}{2 \cdot 1} : \frac{3}{2} - i \frac{51}{2}

The solutions to the quadratic equation are:

y = \frac{3}{2} + i \frac{51}{2}, y = \frac{3}{2} - i \frac{51}{2}

x, \frac{1}{3} y - x^{2} + 2 x = - 5

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

(x^{2} - 3 x + 4) = 0

2 x^{2} + 18 x + 36 = 0

λ^{2} + 6 λ + 5 = 0

What are the solutions to the equation y^2-3y+15=0 ?
The solutions to the equation y^2-3y+15=0 are y= 3/2+i(sqrt(51))/2 ,y= 3/2-i(sqrt(51))/2
Find the zeros of y^2-3y+15=0
The zeros of y^2-3y+15=0 are y= 3/2+i(sqrt(51))/2 ,y= 3/2-i(sqrt(51))/2