Question

if a is a root of the equation x²- (a - b) x + k = 0, find the value of k​

Answer 1

QUESTION:

if a is a root of the equation x²- (a - b) x + k = 0, find the value of k

ANSWER:

GIVEN;

${x}^{2} - (a - b)x + k = 0$

and a is a root of equation so;

${a}^{2} - (a - b)a + k = 0 \\ {a}^{2} - {a}^{2} + ab + k = 0 \\ ab + k = 0 \\ k = - ab$

FINAL ANSWER;

$\huge\red{ k= - ab}$

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