Suppose the quadratic \(\displaystyle{x}^{{{2}}}+{a}{x}+{b}\) equals 0 when

anadyrskia0g5

anadyrskia0g5

Answered question

2022-04-03

Suppose the quadratic x2+ax+b equals 0 when x=c or x=d. If c2d+d2c=10, and a and b are integers, what are all possible ordered pairs (a,b)?

Answer & Explanation

Aarlenlsi1

Aarlenlsi1

Beginner2022-04-04Added 10 answers

Step 1
Sum of roots
=dcoeff(x)coeff(x2)=ac+d=a
Product of roots
=dconst. termcoeff(x2)=bcd=b
c2d+d2c=cd(c+d)=ab

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