Final answer:
To solve the equation 4x²-11x=3, we rearrange it and use the quadratic formula to find the solutions. The solutions for x are approximately -0.25 and 2.25.
Step-by-step explanation:
To solve for x in the equation 4x²-11x=3, we can rearrange the equation and set it equal to 0: 4x²-11x-3=0. Since this is a quadratic equation, we can use the quadratic formula to find the solutions for x. The quadratic formula is x = (-b ± √(b²-4ac))/(2a). Plugging in the values from the equation, we get:
x = (-(-11) ± √((-11)²-4(4)(-3)))/(2(4))
Simplifying further, the solutions for x are x ≈ -0.25 and x ≈ 2.25. So, the solutions for x are approximately -0.25 and 2.25.