Answer:The steps in solving the quadratic function 7x – 9 = 7x^2 – 49x by completing the square are as follows:
Add and subtract (49/2)^2 = (36) to the right-hand side of the equation to complete the square. This gives us:
7x - 9 = 7x^2 - 49x + 36
Factor out the coefficient of the x^2 term, which is 7, on the right-hand side of the equation. This gives us:
7x - 9 = 7(x^2 - 7x + 6)
Take the square root of the number inside the parenthesis and add and subtract it, to get:
7x - 9 = 7(x - 3.5)^2 - 2.25
Now we can add 9 to both sides of the equation to get:
7x = 7(x - 3.5)^2 + 0.75
Now we can divide both sides by 7 to get:
x = (x - 3.5)^2 + 0.75/7
Now we can solve the equation by taking the square root of both sides and adding and subtracting 3.5 to get:
x = 3.5 ± √(x^2 - 7x + 6)
Now we have our solutions, x = 3.5 + √(x^2 - 7x + 6) and x = 3.5 - √(x^2 - 7x + 6) which are the solutions of the quadratic equation.
Explanation: