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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Which of the following is a solution of x2 - 10x = -36?
10 + 2i√11, 5 + i√11, 5 - i√11, 10 - 2i√11
Solution:
The given equation is
x2 - 10x + 36 = 0
The above equation is a quadratic equation of the form ax2 + bx + c
The roots of the equation a2 + bx + c are:
(-b ± √b2 - 4ac)/2a
Here a = 1, b = -10, c = 36
b2 - 4ac = 102 - 4(1)(36) = 100 - 144 = -44
Therefore
√b2 - 4ac = √-44 = √-4 × 11 = 2√11 × -1 = 2√11 × √-1 = 2i√11 (√-1 = i)
The roots of the given equation are 5 + i√11 and 5 - i√11 which are complex conjugates.
Which of the following is a solution of x2 - 10x = -36?
Summary:
The roots of the given equation are 5 + i√11 and 5 - i√11 which are complex conjugates.
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