Question

1. Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients. (I)x²-2x-8​

Answer 1

Answer:

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Answer 2

[tex]\: \: \: \: \: \: \: \huge\colorbox{lightgreen}{αɳʂɯҽɾ ♥︎} \\ \\ \\ \\ {\sf{\pink{∴ {x}^{2} - 2x - 8 = 0 }}} \\ \: \: \: {\sf{a {x}^{2} + bx + c = 0}} \\ {\sf{∴a = 1, \: b = - 2, \: c = - 8}} \\ \\ {\sf{\pink{∴ {x}^{2} - 4x + 2x - 8 = 0 }}} \\ {\sf{↠ \: x(x - 4) + 2(x - 4) = 0}} \\ {\sf{↠ \: (x - 4)(x + 2) = 0}} \\ {\underline{\underline{\sf{\bold{\purple{∴x = 4}}}}}} \: \: \: \: {\sf{or}} \: \: \: \: {\underline{\underline{\sf{\bold{\purple{∴x = - 2}}}}}} \\ \\ \\ {\sf{\green{Verification \: ✓}}} \\ {\sf{\pink{sum \: of \: zeroes = \frac{ - b}{a} = \frac{ - ( - 2)}{1} = - 2}}} \\ \\ {\sf{\pink{product \: of \: zeroes = \frac{c}{a} = \frac{ - 8}{1} = - 8}}} \\ \\ \\ \\ {\sf{Hence, verified.}}