Question

find the zeroes of the polynomial g(x)
$= 7 \sqrt{2x { }^{2} } - 10x - 4 \sqrt{2}$
​

Answer 1

Correct QuestioN :

Find the zeroes of the polynomial g(x) 7√2x² - 10x - 4.

AnsWer :

g( x ) = √2 , - 4/ 7√2.

To Find :

The Zeros of g( x )

SolutioN :

★ Compare With General Formula.

# ax² + bx + c.

Where as,

• a = 7√2.
• b = - 10.
• c = -4√2.

→ 7√2 x² - 10x - 4√2 .

→ 7√2x² - 14x + 4x - 4√2.

→ 7√2x ( x - √2 ) + 4 ( x - √2 ).

→ ( x - √2 ) ( 7√2x + 4 )

$\rule{80}2$

★ Either,

→ x - √2 = 0.

→ x = √2.

★ Or,

$\rule{80}2$

→ 7√2x + 4 = 0.

→ x = - 4 /7√2.

Therefore, the value of x = √2 , - 4 /7√2.