Solve for A: 2A^-1 + 1/2 = 1

This math problem asks to solve for A in the equation 2A⁻¹ + 1/2 = 1. The solution is A = 4.

Answer

Let’s solve this problem step by step:

The equation we’re given is:
We need to solve for . Let’s start by multiplying both sides of the equation by 2:
Now, let’s subtract 1 from both sides:
Next, we can divide both sides by 4:
Now, to get rid of the inverse, we can take the reciprocal of both sides:
Let’s verify this solution:

If , then

Plugging this back into the original equation:

Therefore, the solution is:

Related math solutions

Learn step-by-step how to find the inverse of the linear rational function f(x) = (8x - 4) / 3 by swapping variables and solving for y.

Solve (x^2 + x)/x = 8 and Find 2√x | Rational Equation Solution

Simplify the rational expression (x^2 + x)/x by factoring out x to get x + 1, then solve x + 1 = 8 to find x = 7, so 2√x = 2√7 ≈ 5.29.

Algebraic Proof: Show That an Expression is Even

Prove algebraically that the expression n^2 - 2 - (n - 2)^2 is always an even number by expanding the brackets and factoring out a 2.

Prove Re(z+1)/(z-1) = 0 for Complex Number Magnitude 1

Learn how to prove that the real part of the complex expression (z+1)/(z-1) is equal to zero when |z|=1 and z is not equal to 1, using complex conjugates and magnitude properties.

Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Solve for A: 2A^-1 + 1/2 = 1

Question

Answer

Related math solutions

Unlock the Web Version Forever

Related math solutions