What are the solutions to the equation 4x^2-6x+2=5+5x ?

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

Find the zeros of 4x^2-6x+2=5+5x

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

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4 x^{2} - 6 x + 2 = 5 + 5 x

x = 3, x = - \frac{1}{4}

Decimal Notation

x = 3, x = - 0.25

Solution steps

4 x^{2} - 6 x + 2 = 5 + 5 x

Move

5 x

to the left side

4 x^{2} - 11 x + 2 = 5

Move

5

to the left side

4 x^{2} - 11 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 4 ( - 3 )}{2 \cdot 4}

(- 11)^{2} - 4 \cdot 4 (- 3) = 13

x_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 4}, x_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 4}

x = \frac{- ( - 11 ) + 13}{2 \cdot 4} : 3

x = \frac{- ( - 11 ) - 13}{2 \cdot 4} : - \frac{1}{4}

The solutions to the quadratic equation are:

x = 3, x = - \frac{1}{4}

- 43 = 5 - 3 b^{2}

- 4.9 t^{2} + 12.25 t + 115

x^{2} + 8 = - 17

x, x^{2} + 0^{2} - 4 = 0

1 - x - x^{2}

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