Fredrik knows that x2 + ax + b = 0 has only one solution, and this is x1 = - 3/2

Find the values of a and b.

Correct answer:

a =  3
b =  2.25

Step-by-step explanation:

x1=3/2=23=121=1.5  (xx1) (xx1)=0 (x22 x1 x+x12)=0 (x2+a x+b)=0  a=2 x1=2 (1.5)=3
b=x12=(1.5)2=49=241=2.25  x2+3x+2.25=0

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