Find the zero of the polynomial 4 x square - 12 X + 9 and verify the relation between zeros and coefficients
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4x^2-9
a=4
b=0
c=9
now, D, discriminant=b^2-4ac
=0-4x4x9
=-144
now, -b+_√D/2a
= -0+√-144/8
= 12/8
= 3/2
so,α=3/2
now, -b-√D/2a
= -0-√144/8
= -12/8
= -3/2
so, β= -3/2
now, showing relationship between the zeros and it's coefficients,.
now, α+β= -b/c
3/2+(-3/2) = -0/9
3/2-3/2 = 0
0 = 0
also, αxβ = c/a
3/2x-3/2 = -9/4
-9/4 = -9/4
hope this helps, please mark as brainliest....
a=4
b=0
c=9
now, D, discriminant=b^2-4ac
=0-4x4x9
=-144
now, -b+_√D/2a
= -0+√-144/8
= 12/8
= 3/2
so,α=3/2
now, -b-√D/2a
= -0-√144/8
= -12/8
= -3/2
so, β= -3/2
now, showing relationship between the zeros and it's coefficients,.
now, α+β= -b/c
3/2+(-3/2) = -0/9
3/2-3/2 = 0
0 = 0
also, αxβ = c/a
3/2x-3/2 = -9/4
-9/4 = -9/4
hope this helps, please mark as brainliest....
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