1.

find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients x square - 2 x minus 8

Answer»
x {}^{2} - 2x - 8 = 0 \\ x {}^{2} - (4 - 2)x - 8 = 0 \\ x {}^{2} - 4x + 2x - 8 = 0 \\ x(x - 4) + 2(x - 4) = 0 \\ (x - 4)(x + 2) = 0 \\ x = 4 \: and \: - 2
so the zeroes are 4 and -2

In the QUADRATIC EQUATION , a=1 , b=-2 , C= -8
sum of zeroes = -b/a
2=2

product of zeroes =c/a
-8= -8
Hence verified ...


Discussion

No Comment Found

Related InterviewSolutions