show the second - degree equation. x (x + 1) =0
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Step-by-step explanation:
x(X+1) =0
X+1 =0/X
X+1 =0
X = 0-1
X = -1
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Answer:
solution of quadratic equation( ax2+bx+c=0) is given by -
x=−b±b2−4ac√2a . . . (1)
Here, a = 1, b = 1 and c = 1 (x2+x+1=0)
Just put the value of a, b and c in eq(1),
x=−1±12−4∗1∗1√2∗1
x=−1±−3√2
This is shows its have only imaginary roots.
As i=−1−−−√.
x=−1±i3√2
So two roots are,
x=−1+i3√2 and x=−1−i3√2.
Hope it helps you !
or
f(x)=x2+x+1
Roots of the equation f(x)=0 will be
x=−b±b2−4ac−−−−−−−√2a
x=−1±12−4(1)(1)−−−−−−−−−−√2(1)
x=−1±3–√i2
x=−1+3–√i2 and
x=−1−3–√i2
are also complex cube roots of 1 and also denoted respectively as ω and ω2 .
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