This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Okay, chandamuleyi, let's tackle these. 4. Solve the equation 2x^2 - 72 = 0. Step 1: Isolate the x^2 term by adding 72 to both sides of the equation. 2x^2 - 72 + 72 = 0 + 72 2x^2 = 72 Step 2: Divide both sides by 2 to solve for x^2. (2x^2)/(2) = (72)/(2) x^2 = 36 Step 3: Take the square root of both sides to find x. Remember to include both the positive and negative roots. sqrt(x^2) = ±sqrt(36) x = ± 6 The solutions for x are: x = 6 or x = -6 5. Shade (P Q)' R on the diagram in the answer space below. To shade (P Q)' R: • First, identify the region (P Q), which is everything inside circle P or circle Q (or both). • Next, find (P Q)', which is everything outside of the combined region of P and Q. • Finally, intersect this region with R, meaning you only consider the parts of (P Q)' that are also inside circle R. This means you should shade the region that is part of set R, but is not part of set P and not part of set Q. It is the portion of R that does not overlap with P or Q. That's 2 down. 3 left today — send the next one.