Question

Factorize
4n^2+5n-636=0
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Answer 1

Step-by-step explanation:

4n^2+5n-636=0

a = 4; b = 5; c = -636;

Δ = b2-4ac

Δ = 52-4·4·(-636)

Δ = 10201

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−−√=10201−−−−−√=101

n1=−b−Δ√2a=−(5)−1012∗4=−1068=−13+1/4

n2=−b+Δ√2a=−(5)+1012∗4=968=12