What are the solutions to the equation solvefor X,5X^2-4X=6 ?

The solutions to the equation solvefor X,5X^2-4X=6 are X=(2+sqrt(34))/5 ,X=(2-sqrt(34))/5

Find the zeros of solvefor X,5X^2-4X=6

The zeros of solvefor X,5X^2-4X=6 are X=(2+sqrt(34))/5 ,X=(2-sqrt(34))/5

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X, 5 X^{2} - 4 X = 6

X = \frac{2 + 34}{5}, X = \frac{2 - 34}{5}

Solution steps

5 X^{2} - 4 X = 6

Move

6

to the left side

5 X^{2} - 4 X - 6 = 0

Solve with the quadratic formula

X_{1, 2} = \frac{- ( - 4 ) \pm ( - 4 ) ^{2} - 4 \cdot 5 ( - 6 )}{2 \cdot 5}

(- 4)^{2} - 4 \cdot 5 (- 6) = 234

X_{1, 2} = \frac{- ( - 4 ) \pm 2 34}{2 \cdot 5}

Separate the solutions

X_{1} = \frac{- ( - 4 ) + 2 34}{2 \cdot 5}, X_{2} = \frac{- ( - 4 ) - 2 34}{2 \cdot 5}

X = \frac{- ( - 4 ) + 2 34}{2 \cdot 5} : \frac{2 + 34}{5}

X = \frac{- ( - 4 ) - 2 34}{2 \cdot 5} : \frac{2 - 34}{5}

The solutions to the quadratic equation are:

X = \frac{2 + 34}{5}, X = \frac{2 - 34}{5}

x, ∣ x + 5 ∣ = ∣ x - 3 ∣

3 \frac{3}{6}

\frac{( 90 )}{( 2 )}

\frac{100}{16}

x^{2} - x - 3 = 0

What are the solutions to the equation solvefor X,5X^2-4X=6 ?
The solutions to the equation solvefor X,5X^2-4X=6 are X=(2+sqrt(34))/5 ,X=(2-sqrt(34))/5
Find the zeros of solvefor X,5X^2-4X=6
The zeros of solvefor X,5X^2-4X=6 are X=(2+sqrt(34))/5 ,X=(2-sqrt(34))/5