Question

Make

x
the subject of the formula
x
a
2
+
3
b
=
2
c

Answer 1

To make x the subject of the formula x^2 + 3b = 2c, follow these steps:

1. Subtract 3b from both sides of the equation to isolate x^2 on one side:

x^2 = 2c - 3b.

2. Take the square root of both sides of the equation to solve for x:

√(x^2) = √(2c - 3b).

3. Since x can be either positive or negative, we have two possibilities:

x = ±√(2c - 3b).

Therefore, the formula x = ±√(2c - 3b) represents the solution where x is the subject. The ± symbol indicates that x can take on either the positive or negative square root of (2c - 3b).

Explanation:

Answer 2

To make x the subject of the formula x^2 + 3b = 2c, we can follow these steps:

1. Subtract 3b from both sides of the equation:
x^2 = 2c - 3b

2. Take the square root of both sides to eliminate the square term:
√(x^2) = √(2c - 3b)

3. Simplify the square root of x^2 to |x| since the square root is non-negative:
|x| = √(2c - 3b)

Therefore, x can be expressed as:

x = ± √(2c - 3b)

The ± symbol indicates that x can have both positive and negative solutions, depending on the values of 2c and 3b.