Question

find the sum of the zeroes of the polynomial x²+x+1​

Answer 1

Given : Quadratic equation is x² - x + 1

To find : Sum of zeroes

Solution :

For every Quadratic equation, sum of zeroes can be expressed as - b / a where a is the coefficient of x² and b is the coefficient of x for a quadratic equation in variable x.

General form of quadratic equation is,

• ax² + bx + c = 0

In the given equation x² + x + 1,

• Coefficient of x², a = 1
• Coefficient of x, b = 1
• Constant term, c = 1

Applying the formula to find the sum of zeroes,

=> Sum of zeroes = - ( coeff.of x) / (coeff. of x²)

=> Sum of zeroes = - 1 / 1

=> Sum of zeroes = -1

So the sum of zeroes of the given quadratic equation is -1.

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