Question

The equation whose roots are numerically equal but opposite in sign of the roots of 2x2-3x - 2 = 0 is​

Answer 1

Heylo!♥️

Let the roots of 3x²−5x−7=0 are α & β

α + β = 5/3

αβ = -7/3

And roots of other equation are -α & - β

Sum = -α - β = -(α + β) = -5/3

Product = (-α )(- β) = αβ = -7/3

Equation:-

x² - (sum of roots)x + product of roots

= x² - (-5/3)x - 7/3

= 3x² + 5x - 7

3x² + 5x - 7 is the Equation whose roots are numerically equal but opposite in sign of the roots of 3x²−5x−7=0 .