What are the solutions to the equation 2x^2=9x+5 ?

The solutions to the equation 2x^2=9x+5 are x=5,x=-1/2

Find the zeros of 2x^2=9x+5

The zeros of 2x^2=9x+5 are x=5,x=-1/2

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2 x^{2} = 9 x + 5

x = 5, x = - \frac{1}{2}

Solution steps

2 x^{2} = 9 x + 5

Move

5

to the left side

2 x^{2} - 5 = 9 x

Move

9 x

to the left side

2 x^{2} - 5 - 9 x = 0

Write in the standard form

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

2 x^{2} - 9 x - 5 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 9 ) \pm ( - 9 ) ^{2} - 4 \cdot 2 ( - 5 )}{2 \cdot 2}

(- 9)^{2} - 4 \cdot 2 (- 5) = 11

x_{1, 2} = \frac{- ( - 9 ) \pm 11}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 11}{2 \cdot 2}, x_{2} = \frac{- ( - 9 ) - 11}{2 \cdot 2}

x = \frac{- ( - 9 ) + 11}{2 \cdot 2} : 5

x = \frac{- ( - 9 ) - 11}{2 \cdot 2} : - \frac{1}{2}

The solutions to the quadratic equation are:

x = 5, x = - \frac{1}{2}

25 - 81 x^{4}

x^{2} - 2 x + 15 = 0

\frac{\frac{2}{3}}{\frac{1}{3}}

64 a^{4} - 8 a

\frac{1}{2 + 3}

What are the solutions to the equation 2x^2=9x+5 ?
The solutions to the equation 2x^2=9x+5 are x=5,x=-1/2
Find the zeros of 2x^2=9x+5
The zeros of 2x^2=9x+5 are x=5,x=-1/2