Answer:
See the arrangement below
Step-by-step explanation:
Given the expression
2x^2+x - 9 = 4x
Step 1: Write in standard form
2x^2 + x - 9 - 4x = 0
2x^2 + x - 4x - 9 = 0
2x^2 - 3x - 9 = 0
Step 2; identify the coefficients
The standard quadratic expression is ax^2+bx+c = 0
a = 2, b = -3, c = -9
Step 3: Using the general formula to find the roots
x = -b±√b²-4ac/2a
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
Step 4: simplify
x = -(-3)±√(-3)²-4(2)(-9)/2(2)
x = 3 ±√9+72/4
Step 5; Find the roots
x = 3 ±√81/4
x = 3 ±9/4
x = 3+9/4 and 3-9/4
x = 12/4 and -6/4
x = 3 and -3/2
