Question

if the sum of the square of anju's age and 6 times of anju's age is 280,then find anju's age
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Answer 1

Answer:

Let the Anju's Age be x years.

$\underline{\bigstar\:\textsf{According to the Question :}}$

$:\implies\tt (Age)^2 + 6(Age) = 280\\\\\\:\implies\tt (x)^2 + 6x = 280\\\\\\:\implies\tt x^2 + 6x - 280 = 0\\\\{\scriptsize\qquad\bf{\dag}\:\:\textsf{Using Discriminat Formula}}\\\\:\implies\tt x =\dfrac{-\:b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\\:\implies\tt x = \dfrac{ - \:6 \pm \sqrt{(6)^2 - (4 \times1 \times - 280) } }{2 \times 1}\\\\\\:\implies\tt x = \dfrac{ - \:6 \pm \sqrt{36 + 1120} }{2}\\\\\\:\implies\tt x = \dfrac{ - \:6 \pm \sqrt{1156} }{2}\\\\\\:\implies\tt x = \dfrac{ -\:6 \pm34}{2}\\\\\\:\implies\tt x = \dfrac{- \:6 + 34}{2} \quad or \quad \dfrac{ - \:6 - 34}{2}\\\\\\:\implies\underline{\boxed{ \green{\tt x = 14 \:years} \quad \tt or \quad \red{ x = - \:20 \:years}}}$

⠀

$\therefore\:\underline{\textsf{Ignoring Negative, Anju's Age is \textbf{14 years}}.}$

Answer 2

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let the age of anu be x years.

solution was in the attachment.

x=14years

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hops this may help you

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