Answer: 1.5, -0.5
Step-by-step explanation:
4x2 + 4x -3 = 0
4x2 + 4x = 3
x2 + x = 3/4
The values of x are x = 0.5 or x = -1.5
The equation is given as:
[tex]4x^2 + 4x - 3 = 0[/tex]
Expand
[tex]4x^2 + 6x - 2x - 3 = 0[/tex]
Factorize the expression
[tex]2x(2x + 3) -1( 2x + 3) = 0[/tex]
Factor out 2x + 3
[tex](2x - 1)(2x + 3) = 0[/tex]
Split
2x - 1 = 0 or 2x + 3 = 0
Solve for x
x = 0.5 or x = -1.5
Hence, the values of x are x = 0.5 or x = -1.5
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