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

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

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

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

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4 x^{2} - 2 x = 6

x = \frac{3}{2}, x = - 1

Decimal Notation

x = 1.5, x = - 1

Solution steps

4 x^{2} - 2 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

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

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

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

Separate the solutions

x_{1} = \frac{- ( - 2 ) + 10}{2 \cdot 4}, x_{2} = \frac{- ( - 2 ) - 10}{2 \cdot 4}

x = \frac{- ( - 2 ) + 10}{2 \cdot 4} : \frac{3}{2}

x = \frac{- ( - 2 ) - 10}{2 \cdot 4} : - 1

The solutions to the quadratic equation are:

x = \frac{3}{2}, x = - 1

8.81 \cdot 1 0^{7} (x) = 3 \cdot 1 0^{8}

3 (x - 1) \geq 3 x - 7

\frac{1}{7 ^{4}}

(16)^{\frac{1}{2}}

(x + 1)^{2} < (x - 1)^{2}

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