How i solve the second part of 1 question of exercise 4.3 of class 10th math (ii) 2×2 + x – 4 = 0
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Find the roots of the following quadratic equations, if they exist, by the method of completing the square:(ii) 2×2 + x – 4 = 0 Q.1(2)
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⇒ 2x2 + x = 4
Dividing both sides of the equation by 2, we get
⇒ x2 +x/2 = 2
Now on adding (1/4)2 to both sides of the equation, we get,
⇒ (x)2 + 2 × x × 1/4 + (1/4)2 = 2 + (1/4)2
⇒ (x + 1/4)2 = 33/16
⇒ x + 1/4 = ± √33/4
⇒ x = ± √33/4 – 1/4
⇒ x = ± √33-1/4
Therefore, either x = √33-1/4 or x = -√33-1/4