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Solve the equations with the quadratic formula
x^2+ (7x)^2=25
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x^2 + (7x)^2 = 25 is the same as
x^2 + 49x^2 = 25,
50x^2 = 25,
x^2 = ,
x^2 = ====> x = +/- = +/- .
Answer. The given equation has two solutions: x= and x= .
I didn't use the quadratic formula, because much simpler solution is enough.
On quadratic formula see the lessons
- Introduction into Quadratic Equations
- PROOF of quadratic formula by completing the square
in this site.
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lessons are the part of this textbook under the topic "Quadratic equations".