Final answer:
The solutions of the equation b²+5=8b-10 are b = 3 and b = 5.
Step-by-step explanation:
To solve the equation b²+5=8b-10, we need to rearrange it into quadratic form, which is b² - 8b + 15 = 0. We can then solve for b by factoring or using the quadratic formula. Factoring gives us (b - 3)(b - 5) = 0, which means b = 3 or b = 5. Alternatively, we can use the quadratic formula b = (-(-8) ± √((-8)² - 4(1)(15)))/(2(1)) to find the solutions as b = 3 or b = 5.