Mathematics
Grade10
Easy

Question

Find the number of solutions for the equation x to the power of 2 end exponent minus 12 x plus 11 equals 0.

  1. 0    
  2. 1    
  3. 2    
  4. Either 1 or 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: 2


    Step 1 of 1:
    We have given an equation x to the power of 2 end exponent minus 12 x plus 11 equals 0.
    Now,
    b to the power of 2 end exponent minus 4 a c equals open parentheses negative 12 close parentheses to the power of 2 end exponent minus 4 blank cross times blank 1 blank cross times blank 11
    equals 144 minus 44
    equals 100 greater than 0, so, it has two real solutions

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

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.