Solve the quadratic equation by completing the square:

\[ 4x^2 - 28x + 49 = 5 \]

For quadratic equations complete the square with a detailed step-by-step explanation.

The equation 4x²-28x+49=5 can be solved by completing the square. Step-by-step: 1. Subtract 5 from both sides to get 4x²-28x+44=0. 2. Divide the entire equation by 4 to get x²-7x+11=0. 3. Complete the square to get (x-3.5)²=20.25. 4. Take the square root of both sides and solve for x to find x=3.5±√20.25.

Answered by PragatiR | 2024-06-24

To solve the equation 4 x 2 − 28 x + 49 = 5 by completing the square, first rearrange the terms, divide by 4, and then complete the square. The solutions are x = 2 7 + 5 ​ ​ and x = 2 7 − 5 ​ ​ . This method allows for a systematic approach to finding the roots of the quadratic equation.
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Answered by PragatiR | 2024-12-20