Answer:
0.1167 or -4.2833
Step-by-step explanation:
13/2 -1/2x= -x +7/3
Collect like terms
-1/2x+x=7/3-13/2
Using LCM
(-1+2x²)/2x=(14-39)/6
(-1+2x²)/2x=-25/6
Cross multiply
6(-1+2x²)=-25(2x)
-6+12x²=-50x
12x²+50x-6
Solve using formulae method
-b±(√b²-4ac)/2a
Where a=12, b=50 and C=-6
(-50±(√50²-4(12)(-6)))/2(12)
(-50±(√2500+288))/24
(-50±√2788)/24
(-50±52.8)/24
(-50+52.8)/24 or (-50-52.8)/24
2.8/24 or -102.8/24
0.1167 or -4.2833
