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Tom [10]
3 years ago
12

Solve for x in the equation x^2-12x+36 = 90

Mathematics
2 answers:
kicyunya [14]3 years ago
8 0

Step-by-step explanation:

{x}^{2}  - 12x + 36 = 90 \\  {x}^{2}  - 12x - 54 = 0 \\

Let a=1, b=-12, c=-54

Use formula

\frac{ - b +  -  \sqrt{ {b}^{2} - 4ac } }{2a}

You will get

x = 6 + 3 \sqrt{10}  \\ x = 15.48683298 \\  or \\ x = 6 - 3 \sqrt{10}  \\ x =  - 3.48683298

MariettaO [177]3 years ago
5 0

Answer:

x = 6 + 3\sqrt{10}

Step-by-step explanation:

if you 'un-foil' the equation x^{2} - 12x + 36 = 90 you will get the following:

(x - 6)^2 = 90

take the square root of each side and you will get the following:

x - 6 = \sqrt{90}

Add 6 to each side

x = 6 + \sqrt{90}

simplify \sqrt{90} to be \sqrt{9} x \sqrt{10}  which equals 3 \sqrt{10}

Final answer:  6 + 3\sqrt{10}

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