Question

find a quadratic equation where roots are 1.5+√2 and 1.5- √2 expressing it in the form ax²+bx+c=0, where a,b and c are integers

Answer 1

Answer:

$2 {x}^{2} - 6x + .5 = 0$

Step-by-step explanation:

kindly go through the attachment..

Here i have used the basic result

i.e,

for a given quadratic equation of form

$a {x}^{2} + bx + c = 0$

sum of the roots is

$\frac{ - b}{a}$

product of roots is

$\frac{c}{a}$

here we have formed some equation, kindly refer the attachment.

and i have put value of a as 2.

you may put any value for a and form as many equations as you want.