Solve in real numbers the equation \displaystyle \-x+sqrt{1-x^{2}}\-=sqrt{2}\left(2x^{2}-1\right)\-x+sqrt1−x2\-=sqrt2(2x2−1). Top
literally blasted my brain doing this
Answers
Answered by
1
Answer:
Squaring both sides
2
x
+
2
−
2
√
(
2
x
+
2
)
(
x
+
2
)
+
x
+
2
=
1
grouping
3
x
+
3
=
2
√
(
2
x
+
2
)
(
x
+
2
)
squaring both sides again
9
(
x
2
+
2
x
+
1
)
=
4
(
2
x
+
2
)
(
x
+
2
)
or
(
x
+
1
)
(
x
−
7
)
=
0
Testing the roots in
√
2
x
+
2
−
√
x
+
2
=
1
we choose
x
=
7
Step-by-step explanation:
please mark me as brainliest
Answered by
2
Answer:
Can you explain what have you written in my question?
are you a boy or a girl?
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