Respuesta :

Step-by-step explanation:

y=x²-8x+5

0=x²-2(x)(4) +4² -4² +5

11=(x-4)²

x=4±✓11

Answer:

[tex]x = 4± \sqrt{11 + y} [/tex]or [tex]x =4 ± \sqrt{11} [/tex]

Step-by-step explanation:

Hint:

  • Quadratic formula :

[tex] \frac{ - b± \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]

Simplify :

[tex]y = {x}^{2} - 8x + 5[/tex]

[tex] {x}^{2} - 8x + 5 = y[/tex]

[tex] {x}^{2} - 8x + 5 - y = 0[/tex]

[tex] \frac{8± \sqrt{( { - 8}^{2}) - 4 \times (1(5 - y) } }{2 \times 1} [/tex]

[tex]x = \frac{8±2 \sqrt{11 + y} }{2 \times 1} [/tex]

[tex]x = 4± \sqrt{11 + y} [/tex]

The final answer is the combination of both solutions.

[tex]x = 4 + \sqrt{11 + y} [/tex]

[tex]x = 4 - \sqrt{11 - y} [/tex]

Hope it is helpful....

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