extra problems on quadratic equation ....please guys I want with answers
Answers
Answer:
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Step-by-step explanation:
first follow me you will get it i will give i extra problems
Answer:
Question 1.
Find the roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant. (2011OD)
Solution:
x2 – 3x – m(m + 3) = 0
D = b2 – 4ac
D = (- 3)2 – 4(1) [-m(m + 3)]
= 9 + 4m (m + 3)
= 4m2 + 12m + 9 = (2m + 3)2
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations 1
∴ x = m + 3 or -m
Question 2.
If 1 is a root of the equations ay2 + ay + 3 = 0 and y2 + y + b = 0, then find the value of ab. (2012D)
Solution:
ay2 + ay + 3 = 0
a(1)2 + a(1) + 3 = 0
2a = -3
a = −3/2
y2 + y + b = 0
12 + 1 + b = 0
b = -2
∴ ab =(−32)(−2) = 3
Question 3.
If x = – 12 , is a solution of the quadratic equation 3x2 + 2kx – 3 = 0, find the value of k. (2015D)
Solution:
The given quadratic equation can be written as, 3x2 + 2kx – 3 = 0
Important Questions for Class 10 Maths Chapter 4 Quadratic Equations 2