Math, asked by pandeydivyanshu577, 2 months ago

8x² - 22x + 12 factories​

Answers

Answered by lizadutta065
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 Aryan0123
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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