Find the roots of the equation x2+x-182=0
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Step-by-step explanation:
x²+x-182=0
a=1;b=1;c=-182
D=b²-4ac
D=1²-4(1)(-182)
D=1+728
D=729
√D=27
x=(-b+-√D)/2a
x=(-1+-27)/2(1)
x=(-1+-27)/2
x=(-1+27)/2 or x=(-1-27)/2
x=26/2 or x=-28/2
x=13 or x=-14
Answered by
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Answer:
Given:
A Quadratic Equation x² + x - 182 = 0
To Find:
Roots of this equation
Solution:
x=[ -b ± (b²-4ac)½} / 2a
here a =1
b =1
c= -182
therefore x= [-1 ± (1² - 4 ×1 × -182)½ ]/ 2 (1)
x = [-1 ±(1 +728)½] / 2
x = [-1 ±(729)½] /2
Either x= -1 +(729)½ /2 or x= -1 -(729)½ /2
x= 13 x=-14
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