Question

Q1. Two roots of quadratic equations are given, frame the equation :  

      1-3√5 and 1+3√5

Q2. Find the value of discriminant for each of the following equations :    

      √5 x2 - x - √5 = 0

Q3. Determine the nature of roots for each of the quadratic equation:

      3x2 - 5x + 7 = 0​

Answer 1

Answer:

MATHS

Find the roots of the quadratic equations

3

x

2

−2

2

x−2

3

=0.

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ANSWER

Given

3x

2

−2

2x

−2

3

=0−−−(1)

using discriminant.

D=b

2

−4ac=8+24=32

now x =

2a

−b+

D

=

2

3

2

2

+

32

x=

2

3

2

2

+4

2

=3

3

2

,−

3

2

.

∴ roots of given equation are 3

3

2

−

3

2