plz find the zeroes of this equation...and no spam plz...don't answer anything rubbish just for the sake of point
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80
Answer
x = 98/33 or 133/33
Explanation
(x - 3)(x - 4) = 34/(33)²
Let, (x - 3) = y
→ x - 4 = x - 3 - 1 = y - 1
→ (x - 3)(x - 4) = y(y - 1)
Now,
y(y - 1) = 34/(33)²
→ y(y - 1) = (33 + 1)/33²
→ y² - y = 33/33² + 1/33²
→ y² - y = 1/33 + 1/33²
→ y² - 1/33² - y - 1/33 = 0
→ (y + 1/33)(y - 1/33) - 1(y + 1/33) = 0
→ (y + 1/33)(y - 1/33 - 1) = 0
→ (y + 1/33)(y - 34/33) = 0
→ y = -1/33
or y = 34/33
Now, substitute value of y as x - 3
→ x - 3 = -1/33
or
x - 3 = 34/33
→ x = -1/33 + 3
or
x = 34/33 + 3
→ x = (-1 + 99)/33
or
x = (34 + 99)/33
→ x = 98/33 or x = 133/33
nirman95:
Perfect Method ❤️
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