What are the solutions to the equation 4x-6x^2=-10 ?

The solutions to the equation 4x-6x^2=-10 are x=-1,x= 5/3

Find the zeros of 4x-6x^2=-10

The zeros of 4x-6x^2=-10 are x=-1,x= 5/3

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4 x - 6 x^{2} = - 10

x = - 1, x = \frac{5}{3}

Decimal Notation

x = - 1, x = 1.66666 \dots

Solution steps

4 x - 6 x^{2} = - 10

Move

10

to the left side

4 x - 6 x^{2} + 10 = 0

Write in the standard form

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

- 6 x^{2} + 4 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 6 ) \cdot 10}{2 ( - 6 )}

4^{2} - 4 (- 6) \cdot 10 = 16

x_{1, 2} = \frac{- 4 \pm 16}{2 ( - 6 )}

Separate the solutions

x_{1} = \frac{- 4 + 16}{2 ( - 6 )}, x_{2} = \frac{- 4 - 16}{2 ( - 6 )}

x = \frac{- 4 + 16}{2 ( - 6 )} : - 1

x = \frac{- 4 - 16}{2 ( - 6 )} : \frac{5}{3}

The solutions to the quadratic equation are:

x = - 1, x = \frac{5}{3}

1 = x^{2} - 6 x

x^{2} + 25 x + 156 = 0

p^{2} - 9 p = - 8

b^{2} - 13 b + 40 = 0

x, 3 x^{2} + 5 y^{2} - 12 x - 30 y + 60 = 0

What are the solutions to the equation 4x-6x^2=-10 ?
The solutions to the equation 4x-6x^2=-10 are x=-1,x= 5/3
Find the zeros of 4x-6x^2=-10
The zeros of 4x-6x^2=-10 are x=-1,x= 5/3