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

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

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

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

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4 x^{2} - 10 x = 6

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

Decimal Notation

x = 3, x = - 0.5

Solution steps

4 x^{2} - 10 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

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

(- 10)^{2} - 4 \cdot 4 (- 6) = 14

x_{1, 2} = \frac{- ( - 10 ) \pm 14}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 14}{2 \cdot 4}, x_{2} = \frac{- ( - 10 ) - 14}{2 \cdot 4}

x = \frac{- ( - 10 ) + 14}{2 \cdot 4} : 3

x = \frac{- ( - 10 ) - 14}{2 \cdot 4} : - \frac{1}{2}

The solutions to the quadratic equation are:

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

5 x - 1 = 3 x + 7

6 x + 5 = 3 (2 x + 1)

\frac{3 ^{\frac{11}{5}}}{3 ^{- \frac{9}{5}}}

x - 6 < 1

(27 m)^{\frac{2}{3}} (4 m)^{\frac{1}{2}}

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