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

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

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

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

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5 x^{2} = 14 x + 3

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

Solution steps

5 x^{2} = 14 x + 3

Move

3

to the left side

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}

- 10 x < 80

\frac{13}{9} x + x = 88

x (x - 15) = 1 0^{2}

x^{3} + 2 x^{2} - x - 2 < 0

\frac{5 ^{1}}{5 ^{4}}

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