What are the solutions to the equation completesquare 2x^2-10x+9=0 ?

The solutions to the equation completesquare 2x^2-10x+9=0 are x=(sqrt(7)+5)/2 ,x=(-sqrt(7)+5)/2

Find the zeros of completesquare 2x^2-10x+9=0

The zeros of completesquare 2x^2-10x+9=0 are x=(sqrt(7)+5)/2 ,x=(-sqrt(7)+5)/2

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2 x^{2} - 10 x + 9 = 0

x = \frac{7 + 5}{2}, x = \frac{- 7 + 5}{2}

Decimal Notation

x = 3.82287 \dots, x = 1.17712 \dots

Solution steps

2 x^{2} - 10 x + 9 = 0

Move

9

to the right side

2 x^{2} - 10 x = - 9

Divide both sides by

2

\frac{2 x ^{2} - 10 x}{2} = \frac{- 9}{2}

x^{2} - 5 x = - \frac{9}{2}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{5}{2})^{2} = \frac{7}{4}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{5}{2} = \frac{7}{4} : x = \frac{7 + 5}{2}

Solve

x - \frac{5}{2} = - \frac{7}{4} : x = \frac{- 7 + 5}{2}

The solutions to the quadratic equation are:

x = \frac{7 + 5}{2}, x = \frac{- 7 + 5}{2}

100 x^{2} = 1

3 x^{2} + 9 x - 26 = 4 x^{2} - x - 1

x, 3 x^{2} - m x + 15 = 0

2 x (x - 4) + 1 = 1 - 2 x

(5 x - 1)^{2} = 3

What are the solutions to the equation completesquare 2x^2-10x+9=0 ?
The solutions to the equation completesquare 2x^2-10x+9=0 are x=(sqrt(7)+5)/2 ,x=(-sqrt(7)+5)/2
Find the zeros of completesquare 2x^2-10x+9=0
The zeros of completesquare 2x^2-10x+9=0 are x=(sqrt(7)+5)/2 ,x=(-sqrt(7)+5)/2