Mathematics
Grade10
Easy

Question

Find the solutions of the equation x to the power of 2 end exponent minus 9 x plus 2 equals 0 using the quadratic formula.

  1. fraction numerator 9 plus-or-minus square root of 73 over denominator 2 end fraction    
  2. fraction numerator 9 plus-or-minus square root of 73 over denominator 1 end fraction    
  3. fraction numerator 9 plus-or-minus square root of 13 over denominator 2 end fraction    
  4. No solution    

Hint:

In this question, we have to find the solutions of the equation x to the power of 2 end exponent minus 9 x plus 2 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= (-9) and c= 2. By substituting the given values in the formula, we can find the required solutions.

The correct answer is: fraction numerator 9 plus-or-minus square root of 73 over denominator 2 end fraction


    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 negative 9 close parentheses plus-or-minus square root of 9 to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 2 end root over denominator 2 blank cross times blank 1 blank end fraction
    equals fraction numerator 9 plus-or-minus square root of 81 minus 8 end root over denominator 2 end fraction
    equals fraction numerator 9 plus-or-minus square root of 73 over denominator 2 end fraction

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