Question

Let m = 6x + 5.

Which equation is equivalent to (6x + 5)2 - 10 = -182 – 15 in terms of m?

Choose 1 answer:

(A) m² – 3m + 5 = 0

m2 - 3m + 5 = 0

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mº – 3m – 10 = 0

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m

+3m - 10 = 0

Answer 1

We have been given that
`m=6x+5`. We are asked to write
`(6x + 5)^2-10 =-18x-15` in terms of m.

First of all, we will factor
`-3` from right side of equation as:

`(6x + 5)^2-10 =-3\cdot 6x-3\cdot 5`

`(6x + 5)^2-10 =-3( 6x+5)`

Now we will substitute
`m=6x+5` in our equation as:

`(m)^2-10 =-3(m)`

`m^2-10 =-3m`

Upon adding
`3m` on both sides, we will get:

`m^2+3m-10 =-3m+3m`

`m^2+3m-10 =0`

Therefore, the equation
`m^2+3m-10 =0` is equivalent to
`(6x + 5)^2-10 =-18x-15` in terms of m.