Question

find the zeroes of polynomial
$x ^{2} -2 \sqrt{2x - 6}$
​

Answer 1

✪Correct Question✪

➜Find the Zeros of Polynomial→p(x)=x²-2√2x-6

$\rule{200}{1}$

AnsWer:-

☞x=-√2 and 3√2

$\rule{200}{1}$

Proof:-

➜x²-2√2x-6=0

๛S=-2√2[Sum of Equation]

๛P=-6[Product of Equation]

•-3√2+√2=-2√2=S

•-3√2×√2=-6=P

➜x²-3√2x+√2x-6=0

➜x(x-3√2)+√2(x-3√2)=0

➜x+√2,x-3√2=0

↝x+√2=0

↝x=-√2

↝x-3√2=0

↝x=3√2

$\rule{200}{2}$