Solve this question x2/a2+y2/b=1 change of subject in formula
x^2 / a^2 + y^2 / b^2 = 1
is the equation of an ellipse in standard form with centre at (0,0)
What variable are you solving for ?
a/p-b/q=c change of subject in formula and give answer
To change the subject of the formula x^2/a^2 + y^2/b = 1, we will isolate one of the variables on one side of the equation.
Step 1: Start with the given formula: x^2/a^2 + y^2/b = 1.
Step 2: We want to isolate one of the variables, let's say x. Rearrange the equation to move all the terms that involve x to one side:
x^2/a^2 = 1 - y^2/b.
Step 3: Now, to isolate x, we need to get rid of the square on the left side. Take the square root of both sides:
√(x^2/a^2) = √(1 - y^2/b).
Step 4: Simplify the expression on the left side using the property that square root and square cancel each other out:
x/a = √(1 - y^2/b).
Step 5: Finally, multiply both sides by a to solve for x:
x = a * √(1 - y^2/b).
So, the formula for x in terms of a, y, and b is x = a * √(1 - y^2/b).