Solve the equation. 3u^2 =8u-5

vballa15ei

vballa15ei

Answered question

2022-09-06

Solve the equation.
3 u 2 = 8 u 5

Answer & Explanation

Nodussimj

Nodussimj

Beginner2022-09-07Added 14 answers

First, we bring everything over to the left side:
3 u 2 8 u + 5 = 0
to find the u values, we have to factor this equation. Since the u^2 term has a multiplier, we have to multiply itwith the constant. So we get (3)(5) = 15. Now we have to find what 2 terms that MULTIPLY to 15, but ADD to -8 (our middleterm) in this case, it's -3 and - 5. So we add those ininstead of the -8u
3 u 2 3 u 5 u + 5 = 0
Now we factor by grouping, group the first 2, and last 2 terms into separate binomials.
( 3 u 2 3 u ) + ( 5 u + 5 )
Now we factor to make both the binomials the same.
3u(u - 1) -5(u - 1)
Put them together:
(u-1)(3u-5)
Our u terms are what make each binomial equal 0.
u-1 = 0
u 1 = 1
3u-5 = 0
3u = 5
u 2 = 5 / 3
foyerir

foyerir

Beginner2022-09-08Added 1 answers

3 u 2 = 8 u 5
3 u 2 8 u + 5 = 0
3 u 2 3 u 5 u + 5 = 0
3u(u-1)-5(u-1)=0
(u-1)(3u-5)=0
u-1=0 or 3u-5 =0
u=1 or 3u=5
u=1 or u = 5 3

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