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

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

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

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

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2 x^{2} + 3 = 5 x

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

Decimal Notation

x = 1.5, x = 1

Solution steps

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 \cdot 3}{2 \cdot 2}

(- 5)^{2} - 4 \cdot 2 \cdot 3 = 1

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

Separate the solutions

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

x = \frac{- ( - 5 ) + 1}{2 \cdot 2} : \frac{3}{2}

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

The solutions to the quadratic equation are:

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

x, x^{2} + 4 y^{2} = 7 + 3 x y

15 x^{2} - 6 x - 3 = - 2 x

x^{2} + 1 = \frac{5 x}{2}

x, 4 x^{2} - 8 x + 3 = 0

3 s^{2} - 13 s = 10

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