Question

After completing the square, what are the solutions to the quadratic equation

below?
x2 - 7x+9 = 4
O A. X=-7 29
B. X=-
7
O C. x-}+x20
O D. x = 729

Answer 1

`\bold{x_1=\frac{7+√(29)}2\ ,\qquad x_2=\frac{7-√(29)}2}`

Explanation:

`x^2 - 7x+9 = 4\\\\\underline{x^2 - 2\cdot x\cdot\frac72+\big(\frac72\big)^2}-\big(\frac72\big)^2+9 = 4\\\\\big(x-\frac72\big)^2-\frac{49}4+9 = 4\\\\ \big(x-\frac72\big)^2=\frac{49}4-\frac{36}4+\frac{16} 4\\\\ \big(x-\frac72\big)^2=\frac{29}4\\\\ x-\frac72=\pm\sqrt{\frac{29}4}\\\\ x=\frac72\pm\frac{√(29)}2`