How to solve a problem with a square root?

How to solve a problem with a square root?

Key Concepts

  1. Isolate the radical on one side of the equation.
  2. Square both sides of the equation.
  3. Solve the new equation.
  4. Check the answer. Some solutions obtained may not work in the original equation.

How many solutions will this quadratic equation x2 8x 16 has?

4.2 Solving x2-8x+16 = 0 by Completing The Square . This quadratic equation has one solution only. That’s because adding zero is the same as subtracting zero.

How many solutions does 64 have?

If the discriminant is positive and also a perfect square like 64, then there are 2 real rational solutions.

How do you find the square root of 15?

The square root of 15 is √15 approx 3.872 (rounded to three decimals).

How do you solve square roots step by step?

Here are the steps to finding the square root using factoring:

  1. Find the factors. Factors are the numbers you multiply to find the total under the square root symbol.
  2. Separate the factors into their own square roots.
  3. Solve for the individual squares.
  4. Finish solving the equation.

What is the solution of x2 16?

If we have the equation x2 = 16, what are the solutions to the equation? Since the square of a positive or negative number are always positive, this equation has two solutions, namely x = -4 or x = 4.

How many solutions does the following quadratic equation have?

As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero. This expression has a special name: the discriminant.

What equation has two solutions?

quadratic equation
A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may not be real.

What is a real solution?

Real solution definition In chemistry, a real solution is a homogeneous mixture of at least two chemical substances. A “real” solution differs from a colloidal solution (colloid). According to the concentration of the solute, a distinction is made between hypotonic solution, saturated solution, unsaturated solution.

What is 15 square root simplified?

15=3×5 has no square factors, so √15 cannot be simplified. It is not expressible as a rational number. It is an irrational number a little less than 4 .

Is 15 a perfect square?

1 Answer. A perfect square is a number that is the result you get from squaring a number. 15 is not a perfect square.