Question

(3) 2y2 +27+ 13 = 0​

Answer 1

Correct Question :–

Solve the quadratic equation by factorisation 2y² + 27y + 13 = 0.

Given :–

• A quadratic equation = 2y² + 27y + 13 = 0.

Required :–

• Solve the given quadratic equation by factorisation.

Solution :–

Given quadratic equation,

⟹ 2y² + 27y + 13 = 0

Splitting the middle term.

⟹ 2y² + 26y + y + 13 = 0

⟹ 2y(y + 13) + 1(y + 13) = 0

⟹ (2y + 1) (y + 13) = 0

⟹ (2y + 1) = 0 or (y + 13) = 0

⟹ 2y = –1 or y = –13

⟹ y = $\dfrac{-1}{2}$ or y = –13

Hence,

$\dfrac{-1}{2}$ and –13 are roots of the given quadratic equation.