What are the solutions to the equation 4x^2=9x-2 ?

The solutions to the equation 4x^2=9x-2 are x=2,x= 1/4

Find the zeros of 4x^2=9x-2

The zeros of 4x^2=9x-2 are x=2,x= 1/4

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4 x^{2} = 9 x - 2

x = 2, x = \frac{1}{4}

Decimal Notation

x = 2, x = 0.25

Solution steps

4 x^{2} = 9 x - 2

Move

2

to the left side

4 x^{2} + 2 = 9 x

Move

9 x

to the left side

4 x^{2} + 2 - 9 x = 0

Write in the standard form

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

4 x^{2} - 9 x + 2 = 0

Solve with the quadratic formula

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

(- 9)^{2} - 4 \cdot 4 \cdot 2 = 7

x_{1, 2} = \frac{- ( - 9 ) \pm 7}{2 \cdot 4}

Separate the solutions

x_{1} = \frac{- ( - 9 ) + 7}{2 \cdot 4}, x_{2} = \frac{- ( - 9 ) - 7}{2 \cdot 4}

x = \frac{- ( - 9 ) + 7}{2 \cdot 4} : 2

x = \frac{- ( - 9 ) - 7}{2 \cdot 4} : \frac{1}{4}

The solutions to the quadratic equation are:

x = 2, x = \frac{1}{4}

x^{2} + 13 x + 40

\frac{14}{8} = \frac{x}{6}

(\frac{10 p ^{4}}{6 p})^{2}

3.5 (\frac{5 π}{3})

1 + \frac{0.06}{12}

What are the solutions to the equation 4x^2=9x-2 ?
The solutions to the equation 4x^2=9x-2 are x=2,x= 1/4
Find the zeros of 4x^2=9x-2
The zeros of 4x^2=9x-2 are x=2,x= 1/4