What are the solutions to the equation 6x^2=36x-150 ?

The solutions to the equation 6x^2=36x-150 are x=3+4i,x=3-4i

Find the zeros of 6x^2=36x-150

The zeros of 6x^2=36x-150 are x=3+4i,x=3-4i

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6 x^{2} = 36 x - 150

x = 3 + 4 i, x = 3 - 4 i

Solution steps

6 x^{2} = 36 x - 150

Move

150

to the left side

6 x^{2} + 150 = 36 x

Move

36 x

to the left side

6 x^{2} + 150 - 36 x = 0

Write in the standard form

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

6 x^{2} - 36 x + 150 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 36 ) \pm ( - 36 ) ^{2} - 4 \cdot 6 \cdot 150}{2 \cdot 6}

Simplify

(- 36)^{2} - 4 \cdot 6 \cdot 150 : 48 i

x_{1, 2} = \frac{- ( - 36 ) \pm 48 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 36 ) + 48 i}{2 \cdot 6}, x_{2} = \frac{- ( - 36 ) - 48 i}{2 \cdot 6}

x = \frac{- ( - 36 ) + 48 i}{2 \cdot 6} : 3 + 4 i

x = \frac{- ( - 36 ) - 48 i}{2 \cdot 6} : 3 - 4 i

The solutions to the quadratic equation are:

x = 3 + 4 i, x = 3 - 4 i

x, lo g_{10} (y) - x^{2} - y = 0

- 3 x^{2} - 6 x + 1 = 0

y^{2} + 2 = 0

- 15 x (x - 8) = 0

x, z = 4 x^{2} + 3 y^{2}

What are the solutions to the equation 6x^2=36x-150 ?
The solutions to the equation 6x^2=36x-150 are x=3+4i,x=3-4i
Find the zeros of 6x^2=36x-150
The zeros of 6x^2=36x-150 are x=3+4i,x=3-4i