Question

The equation $2x^2+5x-7=0$ has:

• A. $2$ Complex Roots
• B. $1$ Rational & $1$ Integral Roots
• C. $2$ Irrational Roots
• D. $2$ Integral Roots

Answer 1

The correct option is B $1$ Rational & $1$ Integral Roots

The given equation is $2x^2+5x-7=0$
Here the sum of the coefficients is $2+5-7=0$
If $a+b+c=0$ for an equation $a{x}^2+bx+c=0$, then the roots are $1$ and $\frac{c}{a}$.
$\Rightarrow$ the roots of this equation are $1$ and $\frac{-7}{2}$.