Question

Make x the subject of the formula y=ax2+b​

Answer 1

`\displaystyle x=\pm (√(a(y - b)))/(a)`

Explanation:

To make x the subject of the formula, we will isolate the x variable by using inverse operations.

Given:

y = ax² + b​

Subtract b from both sides of the equation:

ax² = y - b

Divide both sides of the equation by a:

x² =
`( y - b)/(a)`

Square root both sides of the equation and rewrite:

`\displaystyle x=\pm (√(a(y - b)))/(a)`