Question

find the root 2x +3=90/x

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Answer 1

Answer:

-6,15/2

Step-by-step explanation:

follow me please

Answer 2

Here,

$\implies \rm \: 2x + 3 = \frac{90}{x} \\ \boxed{ \bull \text{ \: multipliying \: \: \blue{x} \: \: to \: \: both \: \: sides}}\\ \implies \rm \: x(2x + 3) = 90 \\ \implies \rm \: {2x}^{2} + 3x = 90 \\ \boxed{\bull \text{ \:transposing \: \: 90 \: \: to \: \: LHS} } \\ \implies \rm \: {2x}^{2} + 3x - 90 = 0 \\ \boxed{\bull \text{ \:factorizing \: \: the \: \: obtained \: \: polynomial}} \\ \implies \rm \: {2x}^{2} - 12x + 15x - 90 = 0 \\ \boxed{\bull \text{ \:taking \: \: terms \: \: common}} \\ \implies \rm \:2x(x - 6) + 15(x - 6) = 0 \\ \implies \rm \:(2x + 15)(x - 6) = 0$

Now,

$\sf{}2x + 15 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x - 6 = 0 \\ \boxed{ \bf \to \: x = \red{ \frac{ - 15}{2} }\: \: \: \: \: \: \: \: }\boxed{ \bf\: \: \: \: \: \: \: \: \: \: \: \: \: \to x = \red6 \: \: \: \: \: \: }$

Hence,

• Root of the Given Equation is (-15)/2 or 6.

#FAQs

• What are roots ?

➡️ The value of x in any equation which makes the whole equation equal to zero.

It is also known as solution of the equation or the zeroes.

• For a linear equations, there exists atmost one roots.
• For a quadratic equations, there exists atmost two roots.
• For a cubic equations, there exists atmost three roots.