Bạn hãy chọn đáp án đúng. Có bao nhiêu giá trị của X thỏa mãn 4x(x+1)=x+1 7 2 giá trị 3 giá trị 0 giá trị 1 giá trị

To solve the equation \(4x(x+1 x+1\), we can start by expanding and simplifying:<br />\[4x^2 + 4x = x + 1\]<br />\[4x^2 + 3x - 1 = 0\]<br />From the above quadratic equation, we can determine the number of solutions using the discriminant \(b^2 - 4ac\). In this case, \(a = 4\), \(b = 3\), and \(c = -1\). The discriminant is \(3^2 - 4(4)(-1) = 9 + 16 = 25\). Since the discriminant is positive, the equation has two distinct real roots. Therefore, there are 2 values of \(x\) that satisfy the equation.