Question

consider the equation kx^2+2x=c(2x^2+b). For the quation to be quadratic, which of these cannot be the value of k? a) c b) 2c c) 3c d) 2c + 2b

Answer 1

Question :- consider the equation kx^2+2x=c(2x^2+b). For the quation to be quadratic, which of these cannot be the value of k? a) c b) 2c c) 3c d) 2c + 2b ?

Solution :-

As we know that, The standard form of a quadratic equation is ax² + bx + c = 0. where a ≠ 0.

So,

checking all Options one by one :-

a) if k = c ,

→ kx² + 2x = c(2x²+b)

→ cx² + 2x = 2cx² + bc

→ 2cx² - cx² - 2x + bc = 0

→ cx² - 2x + bc = 0

Comparing with, The standard form of a quadratic equation is ax² + bx + c = 0. we get, it is in quadratic form.

b) if k = 2c ,

→ kx² + 2x = c(2x²+b)

→ 2cx² + 2x = 2cx² + bc

→ 2cx² - 2cx² - 2x + bc = 0

→ - 2x + bc = 0

Comparing with, The standard form of a quadratic equation is ax² + bx + c = 0. we get, a = 0 , Therefore, it is in not in quadratic form.

c) if k = 3c ,

→ kx² + 2x = c(2x²+b)

→ 3cx² + 2x = 2cx² + bc

→ 3cx² - 2cx² + 2x - bc = 0

→ cx² + 2x - bc = 0

Comparing with, The standard form of a quadratic equation is ax² + bx + c = 0. we get, it is in quadratic form.

d) if k = 2c + 2b ,

→ kx² + 2x = c(2x²+b)

→ (2c + 2b)x² + 2x = 2cx² + bc

→ 2cx² + 2bx² + 2x = 2cx² + bc

→ 2cx² - 2cx² + 2bx² + 2x - bc = 0

→ 2bx² + 2x - bc = 0

Comparing with, The standard form of a quadratic equation is ax² + bx + c = 0. we get, it is in quadratic form.

Hence, if value of k is equal to 2c, than, the equation will not be in quadratic form..

There are some cows, hens and goats in Baburam's fam His 8 year-old son, Vistinu, is fond of counting One day, he counts...

https://brainly.in/question/24178769