The difference between the solution to the equation x² = a is 30.
x² = a
x = √a or x = -√a.
The difference between the solutions satisfies the condition
√a - (-√a) = 30
2√a = 30
√a = 15
a = 15² = 225
Check the answer.
When x = +√a,
x² = (√a)² = a Correct
When x = -√a,
x² = (-√a)² = a Correct
Answer: a = 225, and the answer checks out to be correct.
Not sure about the others but
b) 8,192
the pattern is multiplying by 8 each time for b
Answer:
x= -8 x=2
Step-by-step explanation:
x^2 +6x - 6 = 10
Subtract 10 from each side
x^2 +6x -16 =0
Factor what 2 numbers multiply to -16 and add to 6
8*-2 = -16
8-2 = 6
(x+8) (x-2) =0
Using the zero product property
x+8 =0 x-2 =0
x= -8 x=2
