What are the solutions to the equation 3x^2-24x=-45 ?

The solutions to the equation 3x^2-24x=-45 are x=5,x=3

Find the zeros of 3x^2-24x=-45

The zeros of 3x^2-24x=-45 are x=5,x=3

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3 x^{2} - 24 x = - 45

x = 5, x = 3

Solution steps

3 x^{2} - 24 x = - 45

Move

45

to the left side

3 x^{2} - 24 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 24 ) \pm ( - 24 ) ^{2} - 4 \cdot 3 \cdot 45}{2 \cdot 3}

(- 24)^{2} - 4 \cdot 3 \cdot 45 = 6

x_{1, 2} = \frac{- ( - 24 ) \pm 6}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 24 ) + 6}{2 \cdot 3}, x_{2} = \frac{- ( - 24 ) - 6}{2 \cdot 3}

x = \frac{- ( - 24 ) + 6}{2 \cdot 3} : 5

x = \frac{- ( - 24 ) - 6}{2 \cdot 3} : 3

The solutions to the quadratic equation are:

x = 5, x = 3

x^{2} + 2 x - 3

y^{4} + 2 y^{2} + 1

x^{2} - 12 x + 5 < 0

\frac{m - 4}{m ^{2} + 8 m + 16} - \frac{m - 4}{m + 4}

What are the solutions to the equation 3x^2-24x=-45 ?
The solutions to the equation 3x^2-24x=-45 are x=5,x=3
Find the zeros of 3x^2-24x=-45
The zeros of 3x^2-24x=-45 are x=5,x=3