Step-by-step explanation: a and b are roots of equation a^2+a^2-b=0 2a^2=b b^2+ab-b=0 b^2+(b/2)^1/2*b-b=0 b(b+(b/2)^1/2-1)=0 (b/2)^1/2=1-b b/2=1+b^2-2b b=2+2b^2-4b 2b^2-5b+2=0 2b^2-4b-b+2=0 2b(b-2)-1(b-2)=0 (b-2)(2b-1)=0 b=2 or 1/2 2a^2=2 or 2a^2=1/2 a=+1 or -1 a=1/2or -1/2 for b=2 a=1 or -1 for b=1/2 a=1/2 or -1/2 Reply
Step-by-step explanation:
a and b are roots of equation
a^2+a^2-b=0
2a^2=b
b^2+ab-b=0
b^2+(b/2)^1/2*b-b=0
b(b+(b/2)^1/2-1)=0
(b/2)^1/2=1-b
b/2=1+b^2-2b
b=2+2b^2-4b
2b^2-5b+2=0
2b^2-4b-b+2=0
2b(b-2)-1(b-2)=0
(b-2)(2b-1)=0
b=2 or 1/2
2a^2=2 or 2a^2=1/2
a=+1 or -1 a=1/2or -1/2
for b=2
a=1 or -1
for b=1/2
a=1/2 or -1/2