What are the solutions to the equation completesquare 2x^2-6x-5=0 ?

The solutions to the equation completesquare 2x^2-6x-5=0 are x=(sqrt(19)+3)/2 ,x=(-sqrt(19)+3)/2

Find the zeros of completesquare 2x^2-6x-5=0

The zeros of completesquare 2x^2-6x-5=0 are x=(sqrt(19)+3)/2 ,x=(-sqrt(19)+3)/2

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2 x^{2} - 6 x - 5 = 0

x = \frac{19 + 3}{2}, x = \frac{- 19 + 3}{2}

Decimal Notation

x = 3.67944 \dots, x = - 0.67944 \dots

Solution steps

2 x^{2} - 6 x - 5 = 0

Move

5

to the right side

2 x^{2} - 6 x = 5

Divide both sides by

2

\frac{2 x ^{2} - 6 x}{2} = \frac{5}{2}

x^{2} - 3 x = \frac{5}{2}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{3}{2})^{2} = \frac{19}{4}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{3}{2} = \frac{19}{4} : x = \frac{19 + 3}{2}

Solve

x - \frac{3}{2} = - \frac{19}{4} : x = \frac{- 19 + 3}{2}

The solutions to the quadratic equation are:

x = \frac{19 + 3}{2}, x = \frac{- 19 + 3}{2}

2 x^{2} + 9 x - 7 = 0

3 x^{2} + 2 x + 3 = 4

4 x^{2} - 2 x + 6 = 0

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

x^{2} - 56 = 7 x

What are the solutions to the equation completesquare 2x^2-6x-5=0 ?
The solutions to the equation completesquare 2x^2-6x-5=0 are x=(sqrt(19)+3)/2 ,x=(-sqrt(19)+3)/2
Find the zeros of completesquare 2x^2-6x-5=0
The zeros of completesquare 2x^2-6x-5=0 are x=(sqrt(19)+3)/2 ,x=(-sqrt(19)+3)/2