1.

If α and β are the zeroes of the quadraticpolynomial p(x) = 4x² - 5x + 1, then findthe value of α2β+β2α.​

Answer»

Answer:

∝²β + β²∝ = \dfrac{5}{16}

Step-by-step EXPLANATION:

We have been GIVEN the equation:-

4x² - 5X + 1

It has two roots ∝ and β

And were are required to find the value of:-

∝²β + β²∝

We can re-write is as:-

∝β(∝+β)

It is nothing but Products of Roots multiplied by SUM of Roots.

It's value WOULD be:-

= \dfrac{c}{a} \times \dfrac{-b}{a}

= \dfrac{1}{4} \times \dfrac{-(-5)}{4}

= \dfrac{1}{4} \times \dfrac{5}{4}

= \dfrac{5}{16}

\dfrac{5}{16}So, the value of ∝²β + β²∝ is



Discussion

No Comment Found

Related InterviewSolutions