What are the solutions to the equation 3x^2-24x+60=0 ?

The solutions to the equation 3x^2-24x+60=0 are x=4+2i,x=4-2i

Find the zeros of 3x^2-24x+60=0

The zeros of 3x^2-24x+60=0 are x=4+2i,x=4-2i

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3 x^{2} - 24 x + 60 = 0

x = 4 + 2 i, x = 4 - 2 i

Solution steps

3 x^{2} - 24 x + 60 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 60}{2 \cdot 3}

Simplify

(- 24)^{2} - 4 \cdot 3 \cdot 60 : 12 i

x_{1, 2} = \frac{- ( - 24 ) \pm 12 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 12 i}{2 \cdot 3}, x_{2} = \frac{- ( - 24 ) - 12 i}{2 \cdot 3}

x = \frac{- ( - 24 ) + 12 i}{2 \cdot 3} : 4 + 2 i

x = \frac{- ( - 24 ) - 12 i}{2 \cdot 3} : 4 - 2 i

The solutions to the quadratic equation are:

x = 4 + 2 i, x = 4 - 2 i

y^{2} - 6 y - 10 = 0

3 x^{2} - 4 x = 6 x - 3

x^{2} + 0 x + 4 = 0

36 x^{2} - 72 x

10 y^{2} - 126 y + 5 = 0

What are the solutions to the equation 3x^2-24x+60=0 ?
The solutions to the equation 3x^2-24x+60=0 are x=4+2i,x=4-2i
Find the zeros of 3x^2-24x+60=0
The zeros of 3x^2-24x+60=0 are x=4+2i,x=4-2i