Question

What should be the value of b in x2+bx−55=0
𝑥
2
+
𝑏
𝑥
−
55
=
0
so that its solutions are −11
−
11
and 5? (1 point)

Answer 1

If the roots are -11 and 5, their sum is -11 + 5 = -6. For x^2 + b x - 55 = 0, the sum of the roots equals -b, so -b = -6 and b = 6.