how to solve for x by completing the square?
32727
['Step 1 Divide all terms by a (the coefficient of x2).', 'Step 2 Move the number term (c/a) to the right side of the equation.', '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.']
643560
["Step 1: Solve one of the equations for one of the variables. Let's solve the first equation for y: ... ", 'Step 2: Substitute that equation into the other equation, and solve for x. ... ', 'Step 3: Substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.']
348855
['Problem 1. Solve for x: x2-15x+56 = 0. A. x = 14 or x = 4. B. x = 8 or x = 7. C. x = 28 or x = 2. ... ', 'Problem 2. Find x if 2x2+7x+4 = 0. A. - 7 ± √17 / 4. B. - 7 ± √7 / 4. C. ... ', 'Problem 3. For what value of k does the equation x2-12x+k = 0 have real and equal roots? A. B. C. D. Answer 3.']
775387
['Rewrite the equation in the form x2 + bx = c.', 'Add to both sides the term needed to complete the square.', 'Factor the perfect square trinomial.', 'Solve the resulting equation by using the square root property.']
165751
To find the y-intercept let x = 0 and solve for y. Step 3: Find the x-intercept(s). To find the x-intercept let y = 0 and solve for x. You can solve for x by using the square root principle or the quadratic formula (if you simplify the problem into the correct form).
130489
['Put all terms on one side of the equal sign, leaving zero on the other side.', 'Factor.', 'Set each factor equal to zero.', 'Solve each of these equations.', 'Check by inserting your answer in the original equation.']
259096
['Step I: Denote the unknown quantities by x, y etc.', 'Step II: use the conditions of the problem to establish in unknown quantities.', 'Step III: Use the equations to establish one quadratic equation in one unknown.', 'Step IV: Solve this equation to obtain the value of the unknown in the set to which it belongs.']
417280
['Factoring.', 'Completing the Square.', 'Quadratic Formula.', 'Graphing.']
9795
Key Strategy in Solving Quadratic Equations using the Square Root Method. The general approach is to collect all x2 terms on one side of the equation while keeping the constants to the opposite side. After doing so, the next obvious step is to take the square roots of both sides to solve for the value of x.
239722
['Use the graph of y = x2 + x - 6 to solve x2 + x - 6 = 0.', 'Use the graph of y = -x2 + 4 to solve -x2 + 4 = 0.', 'Use the graph of y = x2 -2x + 1 to solve x2 -2x + 1.']
439015
['First, replace f(x) with y . ... ', 'Replace every x with a y and replace every y with an x .', 'Solve the equation from Step 2 for y . ... ', 'Replace y with f−1(x) f − 1 ( x ) .']
181514
['Isolate the radical on one side of the equation.', 'Square both sides of the equation.', 'Solve the new equation.', 'Check the answer.']
263103
['Remove Common Factors if possible.', 'If the coefficient of the x2 term is 1, then. x2 + bx + c = (x + n)(x + m), where n and m. · Multiply to give c. · Add to give b.', 'If the coefficient of the x2 term is not 1, then use either. Guess-and Check. List the factors of the coefficient of the x2 term.']
906769
We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius. So add 21 to both sides to get the constant term to the righthand side of the equation. Then complete the square for the y terms.
1398917
['step 1: Square the First Term,', 'step 2: Double the Product of the 2 terms ,', 'step 3: Square the Last Term. So to find (x – 5)² : square x, multiply 2 times x times – 5, square (– 5)']
1354683
You know by now how to solve a quadratic equation using factoring. Another way of solving a quadratic equation is to solve it graphically. The roots of a quadratic equation are the x-intercepts of the graph.
679198
To find the square of a number, multiply the number by itself. For example, if you're trying to find the square of 5, you would multiply 5 by 5 and get 25, which is the square. To learn how to square fractions, scroll down!