QuestionSolve the equation: $p^{2}-144=0$ . Enter your integer or reduced fraction answers separated by commas.

Studdy Solution

STEP 1

Assumptions1. The equation is $p^{}-144=0$ . We are seeking the solutions for $p$

STEP 2

We need to solve the equation for $p$ . The equation is a quadratic equation of the form $ax^{2} + bx + c =0$ . In this case, $a=1$ , $b=0$ , and $c=-144$ .

STEP 3

First, we rearrange the equation to isolate $p^{2}$ on one side.
$p^{2} =144$

STEP 4

To solve for $p$ , we take the square root of both sides. Remember that the square root of a number has two solutions, one positive and one negative.
$p = \pm \sqrt{144}$

STEP 5

Calculate the square root of144.
$p = \pm12$ So, the solutions to the equation $p^{2}-144=0$ are $p=12$ and $p=-12$ .

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QuestionSolve the equation: $p^{2}-144=0$ . Enter your integer or reduced fraction answers separated by commas.

Studdy Solution

STEP 1

Assumptions1. The equation is $p^{}-144=0$ . We are seeking the solutions for $p$

STEP 2

We need to solve the equation for $p$ . The equation is a quadratic equation of the form $ax^{2} + bx + c =0$ . In this case, $a=1$ , $b=0$ , and $c=-144$ .

STEP 3

First, we rearrange the equation to isolate $p^{2}$ on one side.
$p^{2} =144$

STEP 4

To solve for $p$ , we take the square root of both sides. Remember that the square root of a number has two solutions, one positive and one negative.
$p = \pm \sqrt{144}$

STEP 5

Calculate the square root of144.
$p = \pm12$ So, the solutions to the equation $p^{2}-144=0$ are $p=12$ and $p=-12$ .

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QuestionSolve the equation: p2−144=0p^{2}-144=0p2−144=0. Enter your integer or reduced fraction answers separated by commas.

Studdy Solution

STEP 1

Assumptions1. The equation is p−144=0p^{}-144=0p−144=0 . We are seeking the solutions for ppp

STEP 2

We need to solve the equation for ppp. The equation is a quadratic equation of the form ax2+bx+c=0ax^{2} + bx + c =0ax2+bx+c=0. In this case, a=1a=1a=1, b=0b=0b=0, and c=−144c=-144c=−144.

STEP 3

First, we rearrange the equation to isolate p2p^{2}p2 on one side.p2=144p^{2} =144p2=144

STEP 4

To solve for ppp, we take the square root of both sides. Remember that the square root of a number has two solutions, one positive and one negative.p=±144p = \pm \sqrt{144}p=±144​

STEP 5

Calculate the square root of144.p=±12p = \pm12p=±12So, the solutions to the equation p2−144=0p^{2}-144=0p2−144=0 are p=12p=12p=12 and p=−12p=-12p=−12.

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QuestionSolve the equation: $p^{2}-144=0$ . Enter your integer or reduced fraction answers separated by commas.

Assumptions1. The equation is $p^{}-144=0$ . We are seeking the solutions for $p$

We need to solve the equation for $p$ . The equation is a quadratic equation of the form $ax^{2} + bx + c =0$ . In this case, $a=1$ , $b=0$ , and $c=-144$ .

First, we rearrange the equation to isolate $p^{2}$ on one side.
$p^{2} =144$

To solve for $p$ , we take the square root of both sides. Remember that the square root of a number has two solutions, one positive and one negative.
$p = \pm \sqrt{144}$

Calculate the square root of144.
$p = \pm12$ So, the solutions to the equation $p^{2}-144=0$ are $p=12$ and $p=-12$ .