Question

the product of (5-2x) and (x+3) is _____​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

the product of (5-2x) and (x+3) is _____

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > (5 - 2x)(x + 3)$

$= > 5(x + 3) - 2x(x + 3)$

$= > 5x + 15 - 5 {x}^{2} - 6x = 0$

$= > - 5 {x}^{2} - 6x +5x + 15 = 0$

$= > - 5 {x}^{2} - x + 15 = 0$

$= > - (5 {x}^{2} + x - 15) = 0$

$= > 5 {x}^{2} + x - 15 = 0$

=>Now,it comes in the form of quadratic equation so ,we use quadratic formula to find out the solution:-

$\bold{= > \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}}$

$= > \frac{ -1 ± \sqrt{ {(1)}^{2} - 4(5)( - 15 )} }{2 \times 5}$

$= > \frac{ -1 ± \sqrt{1 + 300} }{10}$

$= > \frac{ - 1± \sqrt{301} }{10}$

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