Question

If one of the two roots of the equation:x2-(k+2)x+3 is the additive inverse of the other root ,then k=

Answer 1

${\bold{\sf{\red{\underline{ANSWER}}}}}</p><p>$

The value of k = -2

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${\bold{\sf{\red{\underline{GIVEN}}}}}</p><p>$

✓ Quadratic equation =

${x}^{2} - (k + 2)x + 3$

• The roots of this equation are additive inverse to each other .

$\red{\boxed{{SOLUTION}}}$

Let one root of this equation = α

second root of this equation will be = - α

Now the sum of the roots =

$\alpha + ( - \alpha ) = \frac{(k + 2)}{1} \\ \: \implies \: 0 = k + 2 \\ \: \implies \: k = - 2$

• The value of k = -2

${\huge{\sf{\red{\underline{THANKS}}}}}$