Question Bank Solution/Question Bank Solution Quadratic Equation/Part 3/Solution of Question Bank
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3 B) Examples for 3 marks each:
1) If the roots of the given quadratic equations are real and equal then find
the value of ‘k’.
kx (x-2) + 6 = 0
2) Mukund has Rs. 50 more than Sagar. If the product of the amount they
have is 15,000 then find the amount each has.
3) Solve the following quadratic equation.
√3 x2 + √2 x – 2√3 =0
3) Solve the following quadratic equations by formula method.
a) 5m2 – 4m -2 = 0
b) Y2 + 13y = 2
4) Form a quadratic equation if the roots of the quadratic equation are 2 + √7 and 2 - √7 .
3 A) Examples for 3 marks each:
1) Complete the following activity to solve the given quadratic equation by
formula method.
2x2 + 13x + 15 = 0
Activity :2x2 + 13x + 15 = 0
a= (.....) , b = 13, c = 15
b
2 – 4ac = (13)2 - 4 x 2 x (…….)
= 169 – 120
b
2 – 4ac = 49
𝑥 =
−𝑏 ± √𝑏
2 − 4𝑎𝑐
2𝑎
𝑥 =
−(… … ) ± √49
4
𝑥 =
−13 ± (… . )
4
𝑥 =
6
4
𝑜𝑟 𝑥 =
−20
4
X = (….) or x = (….)
2) Complete the following activity to solve the given word problem.
Sum of squares of two consecutive even natural numbers is 244 then find those no.
Activity: let the first even natural number be X,
Therefore its consecutive even natural number will be = (.....)
By the given condition,
X2 + (x+ 2)2 = 244
X2+X2+4x+4 – (....) = 0
2x2 + 4x – 240 = 0
X2 + 2x – 120 = 0
X2+ (……..) – (……..) – 120 = 0
X (x+12) – (…..) (x+12) = 0
(x + 12) (x – 10) = 0
X = (……) / X = 10
But natural number cannot be negative x = -12 is not possible.
Therefore first even natural number is x = 10.
Second even consecutive natural number = x+ 2= 10+ 2= 12.
Question Bank Solution | quadratic Equations in Part -3 2021 In this video you will get the solution of question bank provided by the Maharashtra education board. Today we will solve all the questions of quadratic equations class 10th. Maharashtra education board provided one question bank ok and we are going to solve all the questions of the question bank so that the students will get benefit. Watch this video till end to understand all the concepts. Keep watching keep learning
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