Question

find the zero of the following quadratic polynomial and verify the relationship between the zero and coefficient ..
$x { }^{2} - 5$
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Answer 1

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Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

The polynomial is (x)² - 5 , so

(x)² - 5 = 0

(x)² = 5

x = ±√5

Hence , the roots of quadratic equation are √5 and -√5

Verification :

$\large \mathtt{ \fbox{Sum \: of \: roots = - \frac{b}{a} }}$

➡√5 + (-√5) = -0/1

➡0 = 0

and

$\large \mathtt{ \fbox{Product \: of \: roots = \frac{c}{a} }}$

➡√5 × (-√5) = -5/1

➡- 5 = - 5

Hence verified

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