SOLUTION: (2.11p + 3.42)2 = 9.58

Question 45778This question is from textbook Beginning & Intermediate Algebra
: (2.11p + 3.42)2 = 9.58 This question is from textbook Beginning & Intermediate Algebra

Found 2 solutions by tutorcecilia, atif.muhammad:
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
(2.11p + 3.42)2 = 9.58 [Distribute the 2]
4.22p + 6.84 = 9.58 [Solve for p]
4.22p + 6.84 - 6.84 = 9.58 -6.84
4.22p = 2.74
4.22p/4.22 = 2.74/4.22
p = 0.6493
.
Check by plugging p=0.76493 back into the original equation:
[(2.11)(0.6493) + 3.42)]2 = 9.58
9.58 = 9.58 [Checks out]
Answer by atif.muhammad(135) (Show Source): You can put this solution on YOUR website!
(2.11p + 3.42)2 = 9.58
4.4521p^2 + 11.6964 + 14.4324p = 9.58
4.4521p^2 +2.1164 + 14.4324p = 0

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=170.59292624 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -0.153958502490248, -3.08765781340562. Here's your graph:

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