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

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

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

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

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2 x^{2} = 5 x + 3

x = 3, x = - \frac{1}{2}

Solution steps

2 x^{2} = 5 x + 3

Move

3

to the left side

2 x^{2} - 3 = 5 x

Move

5 x

to the left side

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

Write in the standard form

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

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

Solve with the quadratic formula

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

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

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

Separate the solutions

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

x = \frac{- ( - 5 ) + 7}{2 \cdot 2} : 3

x = \frac{- ( - 5 ) - 7}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 3, x = - \frac{1}{2}

x^{2} - 3 x - 1 = - 3 x + 3

y^{2} + y

48 r^{4} + 92 r^{3} + 14 r^{2}

- 16 x^{2} + 45 x - 26

2 j + 9 < 1

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