Mathematics
Grade10
Easy

Question

How many solutions are there for the equation x to the power of 2 end exponent plus 5 x plus 2 equals 0 using the discriminant?

  1. 0    
  2. 1    
  3. 2    
  4. 3    

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: 2


    Step 1 of 1:
    We have given a quadratic equation x to the power of 2 end exponent plus 5 x plus 2 equals 0
    b to the power of 2 end exponent minus 4 a c equals open parentheses 5 close parentheses to the power of 2 end exponent minus 4 cross times 1 cross times 2
    equals 25 minus 8
    equals 17 greater than 0
    The discriminant is greater than zero, so it has two real solutions.

    The discriminant is the part of the quadratic formula found within the square root.

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