The roots of 5x² - x + 1 = 0 are
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Explanation:
Solve the following quadrtatic equation. 5x²+2x+1=0
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SAMHOUSTON | CERTIFIED EDUCATOR
5x² + 2x + 1 = 0
Use the quadratic formula:
x = [-b +- sqrt(b^2 - 4ac)] / 2a
Identify your variables.
a = 5, b = 2, c = 1
Substitute the variables into the quadratic formula and simplify.
[-2 +- sqrt(2^2 - 4 * 5 * 1)] / (2 * 5)
[-2 +- sqrt(4 - 20)] / 10
[-2 +- sqrt(-16)] / 10
Since you cannot square root a negative number, there are no real solutions. However, if you are using imaginary numbers, proceed as follows:
(-2 +- 4i) / 10
Your non-real solutions are:
-0.2 + 0.4i and -0.2 - 0.4i
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