Question

What are steps to solve 2x^2 + 7x + 3 = 0
as Quadratic Equation

Answer 1

To solve the quadratic equation 2x^2 + 7x + 3 = 0, you can follow these steps:

Step 1: Identify the coefficients of the equation.
The coefficients in this equation are:
a = 2 (coefficient of x^2)
b = 7 (coefficient of x)
c = 3 (constant term)

Step 2: Use the quadratic formula.
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)

Step 3: Substitute the values of a, b, and c into the quadratic formula.
x = (-(7) ± √((7)^2 - 4(2)(3))) / (2(2))

Step 4: Simplify the expression under the square root.
x = (-7 ± √(49 - 24)) / 4
x = (-7 ± √25) / 4
x = (-7 ± 5) / 4

Step 5: Solve for x.
x1 = (-7 + 5) / 4 = -2/4 = -1/2
x2 = (-7 - 5) / 4 = -12/4 = -3

Therefore, the solutions to the quadratic equation 2x^2 + 7x + 3 = 0 are x = -1/2 and x = -3.