Question

Hey frnds i m new to this aap .....plz help me....2y²+9y+10=0...plz solve it by completing the square method

Answer 1

Answer :

Given,

2y² + 9y + 10 = 0

We divide both sides by 2. Then,

y² + 9/2 y + 5 = 0

⇒ y² + (2 × y × 9/4) + (9/4)² = - 5 + (9/4)²

⇒ (y + 9/4)² = - 5 + 81/16

⇒ (y + 9/4)² = ( - 80 + 81)/16

⇒ (y + 9/4)² = 1/16

∴ y + 9/4 = 1/4 & y + 9/4 = - 1/4

⇒ y = (1/4 - 9/4) & y = - 1/4 - 9/4

⇒ y = (1 - 9)/4 & y = (- 1 - 9)/4

⇒ y = -8/4 & y = -10/4

⇒ y = - 2 & y = -5/2

Therefore, the required solution is
y = - 2, -5/2.

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