What are the solutions to the equation 5x^2-3=14x ?

The solutions to the equation 5x^2-3=14x are x=3,x=-1/5

Find the zeros of 5x^2-3=14x

The zeros of 5x^2-3=14x are x=3,x=-1/5

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5 x^{2} - 3 = 14 x

x = 3, x = - \frac{1}{5}

Decimal Notation

x = 3, x = - 0.2

Solution steps

5 x^{2} - 3 = 14 x

Move

14 x

to the left side

5 x^{2} - 3 - 14 x = 0

Write in the standard form

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

5 x^{2} - 14 x - 3 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 5 ( - 3 )}{2 \cdot 5}

(- 14)^{2} - 4 \cdot 5 (- 3) = 16

x_{1, 2} = \frac{- ( - 14 ) \pm 16}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 16}{2 \cdot 5}, x_{2} = \frac{- ( - 14 ) - 16}{2 \cdot 5}

x = \frac{- ( - 14 ) + 16}{2 \cdot 5} : 3

x = \frac{- ( - 14 ) - 16}{2 \cdot 5} : - \frac{1}{5}

The solutions to the quadratic equation are:

x = 3, x = - \frac{1}{5}

7 (f - 9) = 63

9 (9 x - 4) \geq 12 (12 x - 3)

lo g_{6} (5 x y^{2})

8 + \frac{b}{4} = 9

(\frac{x ^{2}}{2 \cdot 9.82 \cdot 0.87}) + 2 x - 150 = 0

What are the solutions to the equation 5x^2-3=14x ?
The solutions to the equation 5x^2-3=14x are x=3,x=-1/5
Find the zeros of 5x^2-3=14x
The zeros of 5x^2-3=14x are x=3,x=-1/5