Question

Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+1y=2
(4) x+1x=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m.
thank you both.
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Answer 1

Answer:

5)

Step-by-step explanation:

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Answer 2

Answer:

A equation is known as quadratic when it is in the form of ax² + bx + c = 0 , where a ≠ 0 . I mean every two degree polynomial is known as quadratic equation.

now, Let's check all of these.

(1) it is quadratic because it is in the form of ax² + bx + c = 0 where a = 1 ≠ 0

(2) it is too quadratic because it is in the form of ax² + bx + c = 0 where a = 1 ≠ 0

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(3) it is not quadratic because it is not in the form of ax² + bx +c = 0.

if you resolve y² + 1/y = 2 , you will get y³ -2y + 1= 0 which is 3rd degree polynomial.

(4) it is quadratic ,let see how ,

x + 1/x = -2

(x² + 1)/x = -2

x² + 1 + 2x = 0

x² + 2x + 1 = 0 , it is in the form of ax² + bx + c =0. hence, it is quadratic .

(5) (m + 2)(m -5) = 0

m² + 2m - 5m -10 = 0

m² - 3m - 10 = 0, it is in the form of ax² + bx + c = 0 hence, it is quadratic.

(6) it's not ,because it is 3rd degree polynomial as you can see.