I have to following problem: \(\displaystyle{q}^{{{2}}}+{3}{q}={40}\) The anwser is

avalg10o

avalg10o

Answered question

2022-03-29

I have to following problem:
q2+3q=40
The anwser is q=5 and q=8 can someone give me the steps?

Answer & Explanation

Malia Booth

Malia Booth

Beginner2022-03-30Added 16 answers

Step 1
The quick version is to first move everything to one side:
q2+3q40=0
From here, you can factor if you can spot the factors by inspection or if you have difficulty with that you can rely on the quadratic formula. The above is in the form
aq2+bq+c=0 where a=1, b=3, c=40 which has roots db±b24ac2a.
Plugging in the values gives
d3±3241(40)21
=d3±1692=d3±132
which gives roots 5 and -8, as expected.

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