Question

find the zeroes of the following quadratic polynomial and verify the relationship between the zeroes and the coefficient
$p(x) = t^2-15$
​

Answer 1

Answer:

roots are +or-(15)^1/2.

Answer 2

Step-by-step explanation:

${t}^{2} - 15 = 0$

${t}^{2} = 15$

$t = \sqrt{15}$

OR

$t = - \sqrt{15}$

Let

$\alpha = \sqrt{15}$

$\beta = - \sqrt{15}$

Now Verification ,

$\alpha + \beta = \frac{ - b}{a}$

$\sqrt{15} - \sqrt{15} = \frac{0}{1}$

$0 = 0$

And

$\alpha \beta = \frac{c}{a}$

$\sqrt{15} \times ( - \sqrt{15} ) = \frac{ - 15}{1}$

$- 15 = - 15$

Hence verify

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