The equation 3x² + 7x + 4 = 0 is a quadratic equation solved using the quadratic formula. The solution to the equation yields two roots: x = -4/3 or x = -1.
The student is asking to solve a quadratic equation: 3x² + 7x + 4 = 0. A quadratic equation is of the form ax² + bx + c = 0, and its roots can be found using the quadratic formula.
The quadratic formula is given by x = (-b ± √(b² - 4ac)) / (2a). Applying this formula to our equation with a = 3, b = 7, and c = 4, we can calculate the roots of the equation.
Here is the quadratic formula applied to our equation:
x = (-7 ± √(7² - 4×3×4)) / (2×3)
x = (-7 ± √(49 - 48)) / 6
x = (-7 ± √1) / 6
x = (-7 ± 1) / 6
So, x can be -8/6 or -6/6, which simplifies to x = -4/3 or x = -1.
The probable question may be: "Solve the equation 3x² + 7x + 4 = 0 "