Digital ACT Math Practice Question #1619
Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.
Multiply by (1+i)/(1+i). Denominator is always 1^2 + 1^2 = 2. Numerator: (4-2) + (4+2)i = 2 + 6i. Divide by 2 -> 1 + 3i.
Multiply numerator and denominator by the complex conjugate \(1 + i\): \(\frac{(4 + 2i)(1 + i)}{(1 - i)(1 + i)} = \frac{4 + 4i + 2i + 2i^2}{1 - i^2}\). Since \(i^2 = -1\), numerator = \(4 + 6i - 2 = 2 + 6i\), denominator = \(1 - (-1) = 2\)....
Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...
Unlock Full Solution & 2,600+ Official Drills
Access detailed Socratic steps, trap breakdowns, authentic timed module simulations, and Desmos speed hacks for just $9.99/mo.
For \( 0 \le \theta < 2\pi \), how many distinct values of \( \theta \) satisfy the equation \( \sin(2\theta) + \cos(\th...
If x = 2 is a root of the polynomial P(x) = x^3 - 4x^2 + x + 6, what are the other two roots?...
A solid metal cylinder with radius 2 inches and height 6 inches is melted down and recast into a sphere. Assuming no met...
Given the vectors u = and v = , what is the value of their dot product u · v?...