Math, asked by rishabchandrago8727, 10 months ago

Fond a qutratic polynomial the sum and the product of whose zeroes are zero and 2root2

Answers

Answered by IIsahzadiII

$\huge\boxed{\red{\mathbb{correct\:Question\mapsto}}}$

Find a Quadratic polynomial the sun and the product of whose zeroes are zero and √2 and - 3/2.

$\Large\boxed{\fcolorbox{pink}{lime}{Solution:-}}$

$\huge\boxed{\boxed{Formula:-}}$

x^2 = (α+β)x + (αβ)

put the values

α+β = √2

αβ = -3/2

p(x) = x^2 - (√2)x + (-3/2) =0

x^2 -√2x - 3/2 = 0

Multiply both side by 2..

2* x^2 - 2*2√2 - 2 * (-3/2) =0

we get,

2x^2 - 2√2x -3 =0

Your required polynomial

2x^2 - 2√2 - 3 =0

$\Huge\red{\ddot\smile}$ $\Huge\green{\ddot\smile}$ $\Huge\pink{\ddot\smile}$

$<marquee>$

$<b><body bgcolor = "pink"><font color = "navy">$

ઽαђżα∂¡ $\Huge\red{\ddot\smile}$ $\Huge\green{\ddot\smile}$ MuskaŊ

Previous Question

Next Question