Question

write the quadratic equations whoses roots are 1 by root 2 and one by root two​

Answer 1

Answer:

the roots are 1/√2,1/√2

we know that

sum of zeroes/roots= -b/a

1/√2+1/√2= -b/a

2/√2 = -b/a

a=√2 and b= -2

now product of zeroes/roots=c/a

1/√2×1/√2=c/√2

1/2=c/√2

c=√2/2

c=1/√2

the required quadratic equation is of the form

ax^2+bx+c

on putting the values of a,b and c we get

√2x^2-2x+1/√2=0

2x^2-2√2x+1=0

hope it helps you

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