Question

2/x+1/2=15/2x please solve this

Answer 1

Let's solve your equation step-by-step.
2
x
+
1
2
=
15
2
x
Multiply all terms by x and cancel:
2+
1x
2
=(
15
2
x)(x)
1
2
x+2=
15
2
x2(Simplify both sides of the equation)
1
2
x+2−
15
2
x2=
15
2
x2−
15
2
x2(Subtract 15/2x^2 from both sides)
−15
2
x2+
1
2
x+2=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=-7.5, b=0.5, c=2)
x=
−(0.5)±√(0.5)2−4(−7.5)(2)
2(−7.5)
x=
−0.5±√60.25
−15
x=−0.4841391565420008,0.5508058232086676
Check answers. (Plug them in to make sure they work.)
x=−0.484139(Works in original equation)
x=0.550806(Works in original equation)
Answer:
x=−0.484139 or x=0.550806