Answer: X= -1/2, X= -5/6
Explanation:
0=12x^2+16x+5
Move all terms to the left:
0-(12x^2+16x+5)=0
Add all the numbers together, and all the variables
-(12x^2+16x+5)=0
Get rid of parenthesis
-12x^2-16x-5=0
a = -12; b = -16; c = -5;
Δ = b2-4ac
Δ = -162-4·(-12)·(-5)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
Use following formulas to calculate:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=16−−√=4
-> x1=−b−Δ√2a=−(−16)−42∗−12=12−24=−1/2
-> x2=−b+Δ√2a=−(−16)+42∗−12=20−24=−5/6