Add Rational Expressions with the Same Denominator
Published on October 5, 2026
Simplify x/(x − 7) + (4x − 1)/(x − 7) by adding the numerators and keeping the common denominator. The result is (5x − 1)/(x − 7), where x ≠ 7.
Published on October 5, 2026
Simplify x/(x − 7) + (4x − 1)/(x − 7) by adding the numerators and keeping the common denominator. The result is (5x − 1)/(x − 7), where x ≠ 7.
Solve the rational equation G/S = Y/2 for the variable S by cross-multiplying and isolating S to get S = 2G/Y.
Find real numbers x and y that satisfy the complex number equation 2x - 3i + yi - |3 - 4i| = y + xi by equating the real and imaginary parts.
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.
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.
Solve |(5x−1)/2| = |(3x+1)/4| by multiplying both sides by 4, then considering equal and opposite expressions inside the absolute values. The solutions are x = 3/7 and x = 1/13.