Question

If α and β are the roots of 2x^2+x+3 = 0, find the quadratic equation whose roots are (α -1) and (β-1)

Answer 1

Answer:

thx for answering , mark brainliest

Step-by-step explanation:

please i cant type alpha and beta , so denoting them with p and q respt.

for this quad eqn. a=2 , b=1 , c=3 (for an eqn in form of ax^2 +bx + c)

p+q=-b/a = -1/2

pq=c/a = 3/2

now we need eqn. whose roots are x-1 and y-1

we can write it as

x^2 - (p+q-1-1)x + (p-1)(q-1)

x^2 + (-1/2 - 2)x + pq - p - q +1

x^2 + (-5/2)x + 3/2 -1(-1/2) +1

x^2 -5/2x + 3/2+1/2 +1

x^2 -5/2x + 6/2

x^2-5/2x + 3

= 2(x^2/2 - 5/2 + 3/2)

hope it helps

mark brainliest

thanks