What are the solutions to the equation completesquare 13r^2+52r+21=0 ?

The solutions to the equation completesquare 13r^2+52r+21=0 are r=sqrt(31/13)-2,r=-sqrt(31/13)-2

Find the zeros of completesquare 13r^2+52r+21=0

The zeros of completesquare 13r^2+52r+21=0 are r=sqrt(31/13)-2,r=-sqrt(31/13)-2

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13 r^{2} + 52 r + 21 = 0

r = \frac{31}{13} - 2, r = - \frac{31}{13} - 2

Decimal Notation

r = - 0.45578 \dots, r = - 3.54421 \dots

Solution steps

13 r^{2} + 52 r + 21 = 0

Move

21

to the right side

13 r^{2} + 52 r = - 21

Divide both sides by

13

\frac{13 r ^{2} + 52 r}{13} = \frac{- 21}{13}

r^{2} + 4 r = - \frac{21}{13}

Rewrite in the form

(x + a)^{2} = b

(r + 2)^{2} = \frac{31}{13}

For

the solutions are

f (x) = a, - a

Solve

r + 2 = \frac{31}{13} : r = \frac{31}{13} - 2

Solve

r + 2 = - \frac{31}{13} : r = - \frac{31}{13} - 2

The solutions to the quadratic equation are:

r = \frac{31}{13} - 2, r = - \frac{31}{13} - 2

7 x^{2} + 4 x

1 5^{2} = x^{2} + 9^{2}

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

x, (x - 6)^{2} + (y - 8)^{2} = k

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

What are the solutions to the equation completesquare 13r^2+52r+21=0 ?
The solutions to the equation completesquare 13r^2+52r+21=0 are r=sqrt(31/13)-2,r=-sqrt(31/13)-2
Find the zeros of completesquare 13r^2+52r+21=0
The zeros of completesquare 13r^2+52r+21=0 are r=sqrt(31/13)-2,r=-sqrt(31/13)-2