Question
Solve the equation
Solve for x
Solve for a
Solve for b
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x=∣a∣a−by2ax=−∣a∣a−by2a
Evaluate
ax2+by2=1
Move the expression to the right-hand side and change its sign
ax2=1−by2
Divide both sides
aax2=a1−by2
Divide the numbers
x2=a1−by2
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±a1−by2
Simplify the expression
More Steps

Evaluate
a1−by2
Rewrite the expression
a×a(1−by2)a
Calculate
a×aa−by2a
Calculate
a2a−by2a
To take a root of a fraction,take the root of the numerator and denominator separately
a2a−by2a
Simplify the radical expression
∣a∣a−by2a
x=±∣a∣a−by2a
Solution
x=∣a∣a−by2ax=−∣a∣a−by2a
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