How do you solve $7 v^{2} + 1 = 29$ $7v^2+1=29$ ?

Question

How do you solve $7 v^{2} + 1 = 29$ $7v^2+1=29$ ?

3 Answers

Impact of this question

3635 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-17T21:35:57

$v = \pm 2$ $v=\pm2$

Explanation:

Given that

$7 v^{2} + 1 = 29$ $7v^2+1=29$

$7 v^{2} = 29 - 1$ $7v^2=29-1$

$7 v^{2} = 28$ $7v^2=28$

$v^{2} = \frac{28}{7}$ $v^2=28/7$

$v^{2} = 4$ $v^2=4$

$\sqrt{v^2}=\sqrt4\quad(\text{taking square root on both sides})$

$|v|=2$

$v=\pm2$

Answer 2 · 2018-07-17T21:37:23

$v=+-2$

Explanation:

$"subtract 1 from both sides"$

$7v^2=29-1=28$

$"divide both sides by 7"$

$v^2=28/7=4$

$color(blue)"take the square root of both sides"$

$v=+-sqrt4larrcolor(blue)"note plus or minus"$

$rArrv=+-2$

Answer 3 · 2018-07-17T22:29:40

$v=+-2$

Explanation:

Remember, our end goal is to isolate $v$ . We can start by subtracting $1$ from both sides. We now have

$7v^2=28$

Dividing both sides by $7$ gives us

$v^2=4$

Taking the $+-$ square root of both sides, we get

$v=+-2$

Hope this helps!

Science

Math

Humanities

... and beyond

How do you solve $7 v^{2} + 1 = 29$ $7v^2+1=29$ ?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve 7v^2+1=297v2+1=297v^2+1=29?

3 Answers

Explanation:

Explanation:

Explanation:

Related questions

Impact of this question

How do you solve $7 v^{2} + 1 = 29$ $7v^2+1=29$ ?