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

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Mathematics

Tess Clarke

19 August, 12:20

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

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Maxwell Mclean · 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.