Question

If m and n are roots of the equation x${}^2$ + 3x - 14 = 0 then Find m${}^2$ + n${}^2$

• A. -19
• B. 37
• C. 28
• D. 15
• E. Cannot be determined

Answer 1

The correct option is B 37

m${}^2$ + n${}^2$ = (m+n${}^2$) - 2mn

Sum of roots, m+n = $-\frac{b}{a}$ = -3

Product of roots, mn = $\frac{c}{a}$ = -14

So, m${}^2$ + n${}^2$ = (-3)${}^2$ - (2$\times$ -14) = 37