If the sum of the roots of equation x2-ax+b=0 is same as the product of the roots, then find the - Maths - Quadratic Equations

Question

If the sum of the roots of equation x2-ax+b=0 is same as
the product of the roots, then find the value of (a-b)

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:
We have,x2-ax+b=0 and sum of its roots=product of roots i
e
 S=PSum of roots=-coefficient of xcoefficient of x2=--a1⇒S=aProduct of roots=constant termcoefficient of x2=b1⇒P=bBut S=P⇒a=b∴a-b=0
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If the sum of the roots of equation x2-ax+b=0 is same as the product of the roots, then find the value of (a-b)

If the sum of the roots of equation x²-ax+b=0 is same as the product of the roots, then find the value of (a-b)