Posted by meren on Saturday, June 30, 2012 at 6:33am.
if one zero of the quadratic polynomial 4xsquare + 5x+ gama be reciprocal of another zero, find the value of gama.
maths - MathMate, Saturday, June 30, 2012 at 8:52am
Equate coefficients of terms:
for x²: 4=4
for x: -4(k+1/k)=5
for constant term: γ=1
So the equation is:
maths - Reiny, Saturday, June 30, 2012 at 9:08am
let the roots be p and 1/p
We know that for ax^2 + bx + c = 0
the sum of the roots = -b/a
product of roots = c/a
so in our case, product of the roots = gamma/4
but the product of roots = p(1/p) = 1
gamma/4 = 1
gamma = 4
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