Question

simplify following equation and solve it (e) y(8y + 5) = y2 + 3​

Answer 1

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$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-simplify following equation and solve it (e) y(8y + 5) = y2 + 3

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------>>>>Here is your answer<<<<--------

$⟹8(8y + 5) = 2 {y}^{2} + 3$

$⟹8 {y}^{2} + 5y = 2 {y}^{2} + 3$

$⟹8 {y}^{2} - 2 {y}^{2} + 5y - 3 = 0$

$⟹6 {y}^{2} + 5y - 3 = 0$

$⟹3( {y}^{2} - 1) + 5y = 0$

$⟹3(2 {y}^{2} - 1) = 0⟹2 {y}^{2} = 1⟹y = ∓\sqrt{ \frac{1}{2} }$

OR

WHEN I TAKE 2Y (R.H.S) INSTEAD OF Y^2

$⇨y(8y + 5) = 2y + 3$

$⇨8 {y}^{2} + 5y = 2y+ 3$

$⇨8 {y}^{2} + 3y - 3 = 0$

$⇨8 {y}^{2} + 3(y - 1)=0$

HOPE IT HELPS YOU..

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