What are the solutions to the equation 5x^2-23x=-12 ?

The solutions to the equation 5x^2-23x=-12 are x=4,x= 3/5

Find the zeros of 5x^2-23x=-12

The zeros of 5x^2-23x=-12 are x=4,x= 3/5

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5 x^{2} - 23 x = - 12

x = 4, x = \frac{3}{5}

Decimal Notation

x = 4, x = 0.6

Solution steps

5 x^{2} - 23 x = - 12

Move

12

to the left side

5 x^{2} - 23 x + 12 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 23 ) \pm ( - 23 ) ^{2} - 4 \cdot 5 \cdot 12}{2 \cdot 5}

(- 23)^{2} - 4 \cdot 5 \cdot 12 = 17

x_{1, 2} = \frac{- ( - 23 ) \pm 17}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 23 ) + 17}{2 \cdot 5}, x_{2} = \frac{- ( - 23 ) - 17}{2 \cdot 5}

x = \frac{- ( - 23 ) + 17}{2 \cdot 5} : 4

x = \frac{- ( - 23 ) - 17}{2 \cdot 5} : \frac{3}{5}

The solutions to the quadratic equation are:

x = 4, x = \frac{3}{5}

4 x^{2} - 4 x + 7 x - 7 = 2

8 x + 2 + 5 x^{2} = 4

2 x (9 - 5 x) = - 5 x (2 - 3 x)

(3 y - 5) (2 y + 7) = 0

\frac{x ^{2}}{2} + x - 4 = 0

What are the solutions to the equation 5x^2-23x=-12 ?
The solutions to the equation 5x^2-23x=-12 are x=4,x= 3/5
Find the zeros of 5x^2-23x=-12
The zeros of 5x^2-23x=-12 are x=4,x= 3/5