Determine the number of positive and negative roots of the equation 9 − 5 8 − 14 7 = 0
Answers
Answer:
Question 2:
Decide which of the following are quadratic equations.
(1) x2 + 5x – 2 = 0
(2) y2 = 5y – 10
(3) y2+
1
y
=2
(4) x+
1
x
=-2
(5) (m + 2) (m – 5) = 0
(6) m3 + 3m2 – 2 = 3m3
ANSWER:
(1) x2 + 5x – 2 = 0
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(2) y2 = 5y – 10
Only one variable y.
Maximum index = 2
So, it is a quadratic equation.
(3) y2+
1
y
=2
⇒y3+1=2y
Only one variable y.
Maximum index = 3
So, it is not a quadratic equation.
(4) x+
1
x
=-2
⇒x2+1=-2x
Only one variable x.
Maximum index = 2
So, it is a quadratic equation.
(5) (m + 2) (m – 5) = 0
⇒m2-3m-10=0
Only one variable m.
Maximum index = 2
So, it is a quadratic equation.
(6) m3 + 3m2 – 2 = 3m3
Only one variable m.
Maximum index = 3
So, it is not a quadratic equation.
Step-by-step explanation:
by this explanation I hope you do it well