What are the solutions to the equation 7x-24+5x^2=0 ?

The solutions to the equation 7x-24+5x^2=0 are x= 8/5 ,x=-3

Find the zeros of 7x-24+5x^2=0

The zeros of 7x-24+5x^2=0 are x= 8/5 ,x=-3

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7 x - 24 + 5 x^{2} = 0

x = \frac{8}{5}, x = - 3

Decimal Notation

x = 1.6, x = - 3

Solution steps

7 x - 24 + 5 x^{2} = 0

Write in the standard form

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

5 x^{2} + 7 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 5 ( - 24 )}{2 \cdot 5}

7^{2} - 4 \cdot 5 (- 24) = 23

x_{1, 2} = \frac{- 7 \pm 23}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 7 + 23}{2 \cdot 5}, x_{2} = \frac{- 7 - 23}{2 \cdot 5}

x = \frac{- 7 + 23}{2 \cdot 5} : \frac{8}{5}

x = \frac{- 7 - 23}{2 \cdot 5} : - 3

The solutions to the quadratic equation are:

x = \frac{8}{5}, x = - 3

3 x^{2} + 4 = - 32

12 x - 0.06 x^{2} = 0

m^{2} + 3 m - 5 = 0

m^{2} - 4 m + 6 = 0

3 x^{2} + 56 = x^{2} - 24 x

What are the solutions to the equation 7x-24+5x^2=0 ?
The solutions to the equation 7x-24+5x^2=0 are x= 8/5 ,x=-3
Find the zeros of 7x-24+5x^2=0
The zeros of 7x-24+5x^2=0 are x= 8/5 ,x=-3