8x² - 22x + 12 factories
Answers
Answered by
1
Answer:
1.11 is the correct answer
Step-by-step explanation:
8X square-22 =-12
8X square=-12+22
8X square =10
X square =10/8
X square =1.25
X =√1.25
X =1.11
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Answered by
4
Answer:
x = 3/4 or 2
Step-by-step explanation:
Given Quadratic equation → 8x² - 22x + 12 = 0
For simplification, Divide both sides by 2.
【4x² - 11x + 6 = 0】
In order to factorise this polynomial, find 2 numbers such that:
- Their product is 24
- Their sum is -11
The 2 numbers which satisfy the above criteria are -8 and -3
By splitting the middle term,
4x² - 11x + 6 = 0
⇒ 4x² - 8x - 3x + 6 = 0
⇒ 4x (x - 2) -3 (x - 2) = 0
⇒ (4x - 3) (x - 2) = 0
Now,
4x - 3 = 0 OR (x - 2) = 0
⇒ 4x = 3 OR x = 0 + 2
⇒ x = ¾ OR x = 2
Hence,
The value of x is 3/4 or 2
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