Question

Solve the equation. Round your answer to the nearest 10th if necessary

p2 + 24 = 159

a
12.6
b
11.5
c
12.5
d
11.6

Answer 1

d. 11.6

Explanation:

11.6 is the answer. Hope that hels

Answer 2

`\huge\text{Hey there!}`

`\mathsf{p^2 + 24 = 159}`

`\large\text{SUBTRACT 24 to BOTH SIDES}`

`\mathsf{p^2+24-24=159-24}`

`\large\text{Cancel out: 24 - 24 because that gives you 0}`

`\large\text{Keep: 159 - 24 because it helps you solve for p}`

`\mathsf{159 - 24 = \bf 135}`

`\large\text{New equation: }\mathsf{p^2 =135}`

`\large\text{TAKE your SQUARE ROOT}`

`\mathsf{p=\pm 3√(135)}`

`\mathsf{√(135)=3√(15) \ OR\ -√(135) = -3√(15)}`

`\large\text{Original answer: }\mathsf{\underline{p=3√(15)\ or\ p = -√(15)}}`

`\boxed{\boxed{\large\text{Answer: \huge\bf D. 11.6}}}\huge\checkmark`

`\text{Good luck on your assignment and enjoy your day!}`

~
`\frak{Amphitrite1040:)}`