Question

8.
If a, ß are the roots of the equation x2 + 2x - 15 = 0, then the values of o? +B2 and a + Bare
9.
10.
11.
If the roots of quadratic equation are in the ratio of m:n, then the condition is
The quadratic equation ax? + bx + c = 0 ( where a,b,ce R) having real roots. If both roots are
positive, then the condition is
The quadratic equation ax+ bx +c=0( where a,b,ce R) having real roots. If both the roots are
negative, then the condition is
The quadratic equation ax+ bx + c = 0 ( where a,b,c e R) having real roots. If the roots are
opposite signs, then the condition is
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Answer 1

Answer:

mnb2=(m+n)2ac

βα=nm

or by ratio proportion theory,

mα=nβ=m+nα+β=(mnαβ) 

∴mn(α+β)2=αβ(m+n)2

or mn(−ab)2=(m+n)2ac

or mnb2=ac(m+n)2