Track / Stage 4 / 98 of 340 #358 of 1964

9.2. It is known that $5(a-1)=b+a^{2}$. Compare the numbers $a$ and $b$.

untranslated text remains unchanged.

Your answer

Check

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Show the answer

Official solution

Answer: $a>b$.

Solution: $a-b=a+a^{2}-5a+5=(a-2)^{2}+1>0$.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.