Question

if x^2 - 5x + a = 0 and the two possible values for x is three whats the value of |a|?​

Answer 1

Answer:

Correct option is D)

We have (ax+2)(bx+7)=abx2+7ax+2bx+14=abx2+(7a+2b)x+14

Given, it is equal to 15x2+cx+14

⇒ab=15 --- (1)

⇒7a+2b=c

Also given a+b=8 --- (2)

From equations (1) and (2), we can interpret that either of a or b are equal to 3 or 5

When a=3 and b=5, we have c=7(3)+2(5)=21+10=31

When a=5 and b=3, we have c=7(5)+2(3)=35+6=41