Question

The number of quadratic equations having real roots and which do not change by squaring their roots is​

Answer 1

Answer:

Answer:

3

Step-by-step explanation:

We are given that quadratic equations have real roots and the  quadratics equation does not change by squaring their roots

We have to find the number of quadratic equations

The possible roots

(1,1),(1,0),(0,0)

The general formula of quadratic equation

-(sum of roots)x+ product of roots

Using the the formula

Then we have

a.When roots are 1 and 1

b.When roots are 1 and 0

c.When roots are 0 and 0

Then  

Therefore, 3 possible quadratic equation.

Step-by-step explanation:

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Answer 2

Answer:

We are given that quadratic equations have real roots and the quadratics equation does not change by squaring their roots

We have to find the number of quadratic equations

The possible roots

(1,1),(1,0),(0,0)

The general formula of quadratic equation

x^2x

2

-(sum of roots)x+ product of roots

Using the the formula

Then we have

a.When roots are 1 and 1

x^2-(1+1)x+1=0x

2

−(1+1)x+1=0

x^2-2x+1=0x

2

−2x+1=0

b.When roots are 1 and 0

x^2-x=0x

2

−x=0

c.When roots are 0 and 0

Then x^2=0x

2

=0

Therefore, 3 possible quadratic equation.