Question

Given a natural number m.The product of m and its consecutive number

is 7/5

form a quadratic equation in standard form and hence identify the

values of a,b and c.​

Answer 1

$Given \: a \: natural \: number = m$

$Consecutive \: number \: of \:m = (m+1)$

/ * According to the problem given */

$Product = \frac{7}{5}$

$\implies m(m+1) = \frac{7}{5}$

$\implies m^{2} + m= \frac{7}{5}$

$\implies 5(m^{2} + m) = 7$

$\implies 5m{2} + 5m - 7 = 0 \: compare \:this \:with\\ax^{2} + bx + c = 0 \: , we \:get$

$a = 5 , \: b = 5 \: and \: c = - 7$

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