Solve by completing the square. 3f^{2}+90f=57 Write your

siroticuvj

siroticuvj

Answered question

2021-11-16

Solve by completing the square.
3f2+90f=57
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
f=? or f=?

Answer & Explanation

Ruth Phillips

Ruth Phillips

Beginner2021-11-17Added 18 answers

Step 1
Given equation 3f2+90f57=0
We know that roots of equation ax2+bx+c=0 is b±b24ac2a
By comparing with the given equation we get:
a=3,b=90 and c=57
Step 2
So the roots are:
90±902435723
90±8100+6846
90±12616
15±261
15+261 or 15261
0.6204 or 30.6204
Therefore the roots are 0.620 or -30.620.

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