x2-11x+28=0 complete the square

Published: 28th November, 2023

Arpit Mehar

Content Developer Associate at almaBetter

Discover the solutions to the quadratic equation x^2 - 11x + 28 = 0 using the quadratic formula. Solve for x and find the roots of this mathematical expression.

To complete the square for the quadratic equation x2-11x+28=0 follow these steps:

1. Move the constant term to the other side of the equation:

quadratic equations 5

2. Take half of the coefficient of x, square it, and add it to both sides:
quadratic equations

3. Combine the constants on the right side: 

quadratic equations 2

4. Write the left side as a perfect square:

quadratic equations 3

Now you have expressed the quadratic equation in completed square form. If you want to find the solutions for x, you can take the square root of both sides and solve for x:

quadratic equations 4

Keep in mind that the expression inside the square root is negative, which means the solutions will involve complex numbers.

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