What are the solutions to the equation completesquare 2x^2-14x+1=0 ?

The solutions to the equation completesquare 2x^2-14x+1=0 are x=(sqrt(47)+7)/2 ,x=(-sqrt(47)+7)/2

Find the zeros of completesquare 2x^2-14x+1=0

The zeros of completesquare 2x^2-14x+1=0 are x=(sqrt(47)+7)/2 ,x=(-sqrt(47)+7)/2

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2 x^{2} - 14 x + 1 = 0

x = \frac{47 + 7}{2}, x = \frac{- 47 + 7}{2}

Decimal Notation

x = 6.92782 \dots, x = 0.07217 \dots

Solution steps

2 x^{2} - 14 x + 1 = 0

Move

1

to the right side

2 x^{2} - 14 x = - 1

Divide both sides by

2

\frac{2 x ^{2} - 14 x}{2} = \frac{- 1}{2}

x^{2} - 7 x = - \frac{1}{2}

Rewrite in the form

(x + a)^{2} = b

(x - \frac{7}{2})^{2} = \frac{47}{4}

For

the solutions are

f (x) = a, - a

Solve

x - \frac{7}{2} = \frac{47}{4} : x = \frac{47 + 7}{2}

Solve

x - \frac{7}{2} = - \frac{47}{4} : x = \frac{- 47 + 7}{2}

The solutions to the quadratic equation are:

x = \frac{47 + 7}{2}, x = \frac{- 47 + 7}{2}

25 x^{2} + 50 x + 25 = 0

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

x, x^{2} + y^{2} - \frac{z ^{2}}{4} = 1

a, a^{2} + b^{2} + 1 = ab + a + b

x, 5 x^{2} - 15 x = 0

What are the solutions to the equation completesquare 2x^2-14x+1=0 ?
The solutions to the equation completesquare 2x^2-14x+1=0 are x=(sqrt(47)+7)/2 ,x=(-sqrt(47)+7)/2
Find the zeros of completesquare 2x^2-14x+1=0
The zeros of completesquare 2x^2-14x+1=0 are x=(sqrt(47)+7)/2 ,x=(-sqrt(47)+7)/2