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

Question

asked Sep 7, 2023 156k views

1 Answer

Alfonse Pinto · Answer 1 · 2023-09-13T14:15:13+0000

Answer:

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

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:

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