Question
If a and b are the roots of x² + x – 2 = 0, then the
quadratic equation in x whose roots are 1/a + 1/b and ab isSolution
ATQ,
Find Roots of x2+x−2 = 0: Using the quadratic formula, the roots are: a=1,b=−2 Find New Roots: First root: 
Second root: ab = −2
Find New Quadratic Equation:
Sum of roots:
Product of roots:
Using the formula:
Multiply by 2 to remove fraction:
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