The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
What is Quadratic equation?
An algebraic equation of the second degree is called a quadratic equation.
Given that;
A quadratic equation is;
3x² = -12x - 15
Now, The equation is written as;
3x² + 12x + 15 = 0
Take 3 common, we get;
3 (x² + 4x + 5) = 0
x² + 4x + 5 = 0
Factorize the equation by using Sridharacharya Formula;
x = - 4 ± √4² - 4*1*5 / 2*1
x = -4 ± √16 - 20 / 2
x = - 4 ± √-4 / 2
Since, √-1 = i
x = -4 ± 2i / 2
x = - 2 ± i
It gives two values of x as;
x = - 2 + i
And, x = - 2 - i
Hence, The complex solution of a quadratic equation are (- 2 + i ) and
(- 2 - i ).
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Remember you can do anything to an equation as long as you do it to both sides
5c+16.5=13.5+10c
minus 5c both sides
16.5=13.5+5c
minus 13.5 from both sides
3=5c
divide both sides by 5
3/5=c
Answer: x≤0 is the answer or (−∞,0
]
Step-by-step explanation:
A vertical angles and Angles 1 & 3
Answer: 29
Step-by-step explanation:
d = √(l2 + w2 + h2)
d = √(12^2+ 16^2+ 21^2) = 29
