Mathematics
Grade10
Easy

Question

Find the solutions of the equation x to the power of 2 end exponent plus x plus 1 equals 0 using the quadratic formula.

  1. fraction numerator negative 1 plus-or-minus square root of 3 over denominator 2 end fraction    
  2. fraction numerator 1 plus-or-minus square root of 3 over denominator 2 end fraction    
  3. fraction numerator negative 1 plus-or-minus square root of 5 over denominator 2 end fraction    
  4. No solution    

hintHint:

In this question, we have to find the solutions of the equation x to the power of 2 end exponent plus x plus 1 equals 0 using the quadratic formula. the formula for x equals fraction numerator negative b plus-or-minus square root of b to the power of 2 end exponent minus 4 a c end root over denominator 2 a end fraction. From the equation a= 1, b= 1 and c= 1. By substituting the given values in the formula, we can find the required solutions.

The correct answer is: No solution


    x equals fraction numerator negative b plus-or-minus square root of b to the power of 2 end exponent minus 4 a c end root over denominator 2 a end fraction
    equals fraction numerator negative open parentheses 1 close parentheses plus-or-minus square root of 1 to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 1 end root over denominator 2 blank cross times blank 1 end fraction
    equals fraction numerator negative 1 plus-or-minus square root of 1 minus 4 end root over denominator 2 end fraction
    equals fraction numerator negative 1 plus-or-minus square root of negative 3 end root over denominator 2 end fraction

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