Mathematics
Grade10
Easy

Question

How many solutions are there for the equation 4 x to the power of 2 end exponent minus 8 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
    b to the power of 2 end exponent minus 4 a c equals open parentheses negative 8 close parentheses to the power of 2 end exponent minus 4 blank cross times blank 4 blank cross times blank 2
    = 64 - 32
    = 32 > 0
    The discriminant is greater than zero, so it has two real solutions.

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

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