Answer:
a=2+√3 or a=2−√3
Step-by-step explanation:
Multiply all terms by a and cancel:
aa+1=4a ∴ (Simplify both sides of the equation)
a2+1−4a=4a−4a ∴ (Subtract 4a from both sides)
a2−4a+1=0
For this equation: a=1, b=-4, c=1
1a2+−4a+1=0
a = −b ± √b2 − 4ac2a divided by 2a ⇒(Use quadratic formula with a=1, b=-4, c=1)
−(−4) ± √(−4) 2−4 (1) (1) /2 (1)
a=4±√12/2
a=2+√3 or a=2−√3
a=2+√3 or a=2−√3
