Question

find zeros of polynomial x2-3x-m (m+2)
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Answer 1

Step-by-step explanation:

$Given: equation x2−3x−m(m+3)=0, where m is a constant</p><p></p><p>To find the roots of the equation</p><p></p><p>Sol: the given equation is of form ax2+bx+c=0∴a=1,b=−3,c=−m(m+3)</p><p></p><p>We know the roots of the equation can be find out using the formula,</p><p></p><p>x=2a−b±b2−4ac</p><p></p><p>Substituting the values of a, b, c, we get</p><p></p><p>x=2−(−3)±(−3)2−4(1)(−m(m+3)⟹x=23±9+4m2+12m⟹x=23±(2m+3)</p><p></p><p>or x=23+(2m+3),x=23−(2m+3)</p><p></p><p>⟹x=m+3,x=−m are the required roots of the equation.</p><p></p><p>$

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