Mathematics
Grade10
Easy

Question

Use the quadratic formula for the equation negative 8 x to the power of 2 end exponent plus 1 equals 0.

  1. fraction numerator negative-or-plus square root of 2 over denominator 8 end fraction    
  2. fraction numerator negative-or-plus square root of 2 over denominator 2 end fraction    
  3. fraction numerator negative-or-plus square root of 2 over denominator 4 end fraction    
  4. negative-or-plus square root of 2    

Hint:

Any equation of the form p (x) = 0, where p (x) is a polynomial of degree 2, is a quadratic equation

The correct answer is: fraction numerator negative-or-plus square root of 2 over denominator 4 end fraction


    Step 1 of 1:
    We have given a quadratic equation negative 8 x to the power of 2 end exponent plus 1 equals 0.
    a = - 8, c = 1
    plus-or-minus fraction numerator open parentheses square root of negative 4 blank cross times blank open parentheses negative 8 close parentheses blank cross times blank 1 end root close parentheses over denominator 2 blank cross times blank minus 8   end fraction   equals plus-or-minus   fraction numerator 4 square root of 2 over denominator negative 16 end fraction equals fraction numerator negative-or-plus square root of 2 over denominator 4   end fraction

    We know that the quadratic formula is x = [-b±√(b2-4ac)]/2a

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