Explain, how did we split the number in the equation.
How to find the roots?
Class 10th, Statistics, Rd sharma, Mathematics.
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Solution:
Given,
9x2 – 3x – 2 = 0.
⇒ 9x2 – 3x – 2 = 0.
⇒ 9x2 – 6x + 3x – 2 = 0
⇒ 3x (3x – 2) + 1(3x – 2) = 0
⇒ (3x – 2)(3x + 1) = 0
Now, either 3x – 2 = 0 ⇒ x = 2/3
Or, 3x + 1= 0 ⇒ x = -1/3
Thus, the roots of the given quadratic equation are x = 2/3 and x = -1/3, respectively.