Question

what are the solution(s) to the quadratic equation 9x2 = 4? x = 4/9 and x = -4/9 x = 4/9 and x = -2/3 x = 3/2 and x = -3/2 no real solution

Answer 1

To solve for the quadratic equation 9x² = 4, we need to recall that the difference between two square can be expressed as the product of their sum and difference or (a² - b²) = (a + b)(a - b). Thus, we have 9x² = 4 9x² - 4 = 0 (3x)² - (2)² = 0 (3x + 2)(3x - 2) = 0 We now have two linear equations: 3x + 2 = 0 | 3x - 2 = 0 3x = -2 | 3x = 2 x = -2/3 | x = 2/3 Thus, x = +2/3 and -2/3.