if alpha and bita are the roots of 2x^2 +7x-2=0 , without solving form an equation whose roots are alpha^2 and bita^2

The equation is

4

x

2

−

57

x

+

4

=

0

Step-by-step explanation:

Explanation:

The quadratic equation is

2

x

2

+

7

x

−

2

=

0

Rewriting the equation as

x

2

+

7

2

x

−

1

=

0

If the roots of the equation are

α

and

β

Then

α

+

β

=

−

7

2

and

α

β

=

−

1

α

2

+

β

2

=

(

α

+

β

)

2

−

2

α

β

=

49

4

+

2

=

57

4

α

2

β

2

=

(

−

1

)

2

=

1

The equation with roots

α

2

and

β

2

is

x

2

−

57

4

x

+

1

=

0

4

x

2

−

57

x

+

4

=

0

Answer link

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.

this may not be at all, but i use the same website you're using for school, and if i'm stuck doing one of these i try to look for it on the section.