What are the solution(s) to the quadratic equation x^2 - 25 = 0?
1 answer:
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Answer:
Step-by-step explanation:
We know that , so we need to multiply equation
by
.
This gives , which simplifies to
.
We know that , so we need to multiply equation
by
.
This gives , which simplifies to
.
Aha! Now we have a path to the solution!
We can subtract the first equation from the second to eliminate .
This gives , which simplifies to
.
We can then divide by to obtain
!
Then, we plug into the second equation to get
.
We can subtract from both sides to get
.
We then divide by to obtain
.
So, and
, and we're done!