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erastovalidia [21]
3 years ago
6

(9b+3)(b-7)=0 Solve this using factoring, what are the two x’s?

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

answer is down below

Step-by-step explanation:

u have ur two brackets.

(9b+3)(b-7)=0

take 1 bracket at a time

9b+3=0

solve it so:

9b+3=0

9b=-3

b= -3 / 9

<u>Ans: b=-1/3</u>

take the other bracket

b-7=0

solve it:

<u>Ans: b=+7 </u>

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densk [106]

<u>Question 8</u>

a^2 + 7a + 12

= (a+3)(a+4)

When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).

An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.

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= (-7 +or- sqrt(1))/2

= -3 or -4

These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).

<u>Question 10</u>

-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18

Rewrite each fraction with a common denominator so you can combine the fractions into one.

= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18

= (-6(x - y) + 9(4x - 7y) - (x + y)) /18

Expand the brackets and collect like terms.

= (-6x + 6y + 36x - 63y - x - y)/18

= (29x - 58y)/18

= 29/18 x - 29/9 y

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