What are the solutions to the equation 5x^2-7=3x ?

The solutions to the equation 5x^2-7=3x are x=(3+sqrt(149))/(10),x=(3-sqrt(149))/(10)

Find the zeros of 5x^2-7=3x

The zeros of 5x^2-7=3x are x=(3+sqrt(149))/(10),x=(3-sqrt(149))/(10)

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5 x^{2} - 7 = 3 x

x = \frac{3 + 149}{10}, x = \frac{3 - 149}{10}

Decimal Notation

x = 1.52065 \dots, x = - 0.92065 \dots

Solution steps

5 x^{2} - 7 = 3 x

Move

3 x

to the left side

5 x^{2} - 7 - 3 x = 0

Write in the standard form

a x^{2} + b x + c = 0

5 x^{2} - 3 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 5 ( - 7 )}{2 \cdot 5}

(- 3)^{2} - 4 \cdot 5 (- 7) = 149

x_{1, 2} = \frac{- ( - 3 ) \pm 149}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 149}{2 \cdot 5}, x_{2} = \frac{- ( - 3 ) - 149}{2 \cdot 5}

x = \frac{- ( - 3 ) + 149}{2 \cdot 5} : \frac{3 + 149}{10}

x = \frac{- ( - 3 ) - 149}{2 \cdot 5} : \frac{3 - 149}{10}

The solutions to the quadratic equation are:

x = \frac{3 + 149}{10}, x = \frac{3 - 149}{10}

z, 6 z^{2} + A z + B = 0

5 x^{2} - 2 x - 6 = - 3 x^{2} + 6 x

- 3 x^{2} + 54 x = 51

5 x + 2 x^{2} = 3

16 x^{2} + 25 x^{2} = 400

What are the solutions to the equation 5x^2-7=3x ?
The solutions to the equation 5x^2-7=3x are x=(3+sqrt(149))/(10),x=(3-sqrt(149))/(10)
Find the zeros of 5x^2-7=3x
The zeros of 5x^2-7=3x are x=(3+sqrt(149))/(10),x=(3-sqrt(149))/(10)