Question

980x^2 - 20x - 8 = 0

find x with step​

Answer 1

Answer:

Explanation:

980x^2-20x-8=0

a = 980; b = -20; c = -8;

Δ = b2-4ac

Δ = -202-4·980·(-8)

Δ = 31760

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

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

The end solution:

Δ−−√=31760−−−−−√=16∗1985−−−−−−−−√=16−−√∗1985−−−−√=41985−−−−√

x1=−b−Δ√2a=−(−20)−41985√2∗980=20−41985√1960

x2=−b+Δ√2a=−(−20)+41985√2∗980=20+41985√1960