Solve the equation for all real solutions:
16n^2-10n-5=6n

thanks for the points

Step-by-step explanation:

the answer for 16n^2-10n-5=6n

We move all terms to the left:

16n^2-10n-5-(6n)=0

We add all the numbers together, and all the variables

16n^2-16n-5=0

a = 16; b = -16; c = -5;

Δ = b2-4ac

Δ = -162-4·16·(-5)

Δ = 576

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

n1=−b−Δ√2an2=−b+Δ√2a

Δ−−√=576−−−√=24

n1=−b−Δ√2a=−(−16)−242∗16=−832=−1/4

n2=−b+Δ√2a=−(−16)+242∗16=4032=1+1/4

step-by-step explanation: