What are the solutions to the equation 5v^2-7v+4=6 ?

The solutions to the equation 5v^2-7v+4=6 are v=(7+sqrt(89))/(10),v=(7-sqrt(89))/(10)

Find the zeros of 5v^2-7v+4=6

The zeros of 5v^2-7v+4=6 are v=(7+sqrt(89))/(10),v=(7-sqrt(89))/(10)

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5 v^{2} - 7 v + 4 = 6

v = \frac{7 + 89}{10}, v = \frac{7 - 89}{10}

Decimal Notation

v = 1.64339 \dots, v = - 0.24339 \dots

Solution steps

5 v^{2} - 7 v + 4 = 6

Move

6

to the left side

5 v^{2} - 7 v - 2 = 0

Solve with the quadratic formula

v_{1, 2} = \frac{- ( - 7 ) \pm ( - 7 ) ^{2} - 4 \cdot 5 ( - 2 )}{2 \cdot 5}

(- 7)^{2} - 4 \cdot 5 (- 2) = 89

v_{1, 2} = \frac{- ( - 7 ) \pm 89}{2 \cdot 5}

Separate the solutions

v_{1} = \frac{- ( - 7 ) + 89}{2 \cdot 5}, v_{2} = \frac{- ( - 7 ) - 89}{2 \cdot 5}

v = \frac{- ( - 7 ) + 89}{2 \cdot 5} : \frac{7 + 89}{10}

v = \frac{- ( - 7 ) - 89}{2 \cdot 5} : \frac{7 - 89}{10}

The solutions to the quadratic equation are:

v = \frac{7 + 89}{10}, v = \frac{7 - 89}{10}

4 (x - 2)^{2} = (x - 8)^{2}

(- x - 1) (x + 10) + 12 = 0

2 x^{2} + 14 x - 60 = 0

3 s^{2} + 4 s - 4 = 0

x^{2} - 15 x + 28 = - 2 x - 2

What are the solutions to the equation 5v^2-7v+4=6 ?
The solutions to the equation 5v^2-7v+4=6 are v=(7+sqrt(89))/(10),v=(7-sqrt(89))/(10)
Find the zeros of 5v^2-7v+4=6
The zeros of 5v^2-7v+4=6 are v=(7+sqrt(89))/(10),v=(7-sqrt(89))/(10)