Find the positive real number $x$ for which
\[5 \sqrt{1 + x} + 5 \sqrt{1 - x} = 7 \sqrt{2}.\]
Question:
Find the positive real number $x$ for which
\[5 \sqrt{1 + x} + 5 \sqrt{1 - x} = 7 \sqrt{2}.\]
Answer:
Let's think step by step.

user
\frac{7}{25}
Find the positive real number $x$ for which
\[5 \sqrt{1 + x} + 5 \sqrt{1 - x} = 7 \sqrt{2}.\]
train