How do you solve $13 p^{2} - 3 = 4209$ $13p^2-3=4209$ ?

Question

How do you solve $13 p^{2} - 3 = 4209$ $13p^2-3=4209$ ?

1 Answer

Impact of this question

2268 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-11T22:32:46

See the entire solution process below:

Explanation:

First, add $3$ $color(red)(3)$ to each side of the equation to isolate the $p$ $p$ term while keeping the equation balanced:

$13 p^{2} - 3 + 3 = 4209 + 3$ $13p^2 - 3 + color(red)(3) = 4209 + color(red)(3)$

$13 p^{2} - 0 = 4212$ $13p^2 - 0 = 4212$

$13 p^{2} = 4212$ $13p^2 = 4212$

Now, divide each side of the equation by $13$ $color(red)(13)$ to isolate $p^{2}$ $p^2$ while keeping the equation balanced:

$\frac{13 p^{2}}{13} = \frac{4212}{13}$ $(13p^2)/color(red)(13) = 4212/color(red)(13)$

$(color(red)(cancel(color(black)(13)))p^2)/cancel(color(red)(13)) = 324$

$p^2 = 324$

Now, take the square root of each side of the equation to solve for $p$ . Remember, the square root of a number produces a negative and positive result:

$sqrt(p^2) = +-sqrt(324)$

$p = +-18$

Science

Math

Humanities

... and beyond

How do you solve $13 p^{2} - 3 = 4209$ $13p^2-3=4209$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve 13p^2-3=420913p2−3=420913p^2-3=4209?

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve $13 p^{2} - 3 = 4209$ $13p^2-3=4209$ ?