Answer:
x= -1, -9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
1/4x2+5/2x+21/4=3
Step 2: Subtract 3 from both sides.
1/4x2+5/2x+21/4−3=3−3
1/4x2+5/2x+9/4=0
For this equation: a=0.25, b=2.5, c=2.25
0.25x2+2.5x+2.25=0
Step 3: Use quadratic formula with a=0.25, b=2.5, c=2.25.
x=−b±√b2−4ac/2a
x=−(2.5)±√(2.5)2−4(0.25)(2.25)/2(0.25)
x=−2.5±√4/0.5
x=−1,−9
