Answer:
x = ±3/2
Step-by-step explanation:
3x² + 2 = 11 - x²
Collecting like terms and equating to zero
3x² + x² + 2 - 11 = 0
4x² - 9 = 0
Using Quadratic Formula to find the value of x
x = −(b±√b2−4(ac) ) /2a
Where a=4, b=0, c=-9
x = -0±√(0² - 4(4)(-9) )/ 2(4)
x = ±(√144)/8
x = ±12/8
x = ±3/2
