What is the first step in solving a2 10a 21 0 by completing the square?

What is the first step in solving a2 10a 21 0 by completing the square?

Step 1 :Trying to factor by splitting the middle term The middle term is, +10a its coefficient is 10 . Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is 10 .

How do you complete the square?


  1. Step 1 Divide all terms by a (the coefficient of x2).
  2. Step 2 Move the number term (c/a) to the right side of the equation.
  3. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

What is root of equation?

Roots of Quadratic Equation. The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.

What is square roots method?

The square root method can be used for solving quadratic equations in the form “x² = b.” This method can yield two answers, as the square root of a number can be a negative or a positive number. If an equation can be expressed in this form, it can be solved by finding the square roots of x.

What is a complex root quadratic?

The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”). These complex roots will be expressed in the form a ± bi. A quadratic equation is of the form ax2 + bx + c = 0 where a, b and c are real number values with a not equal to zero.

What is the square of 2?

The process of multiplying a number times itself is called squaring. Numbers whose square roots are whole numbers, (or more accurately positive integers) are called perfect square numbers….List of Perfect Squares.

2 4 1.414
3 9 1.732
4 16 2.000
5 25 2.236

What is root of equation example?

The following are examples of some quadratic equations: 1) x2+5x+6 = 0 where a=1, b=5 and c=6. For every quadratic equation, there can be one or more than one solution. These are called the roots of the quadratic equation.