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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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Which of the following is a valld conclusion for the quadratic equation?
HACTEHA [7]

Answer:

x - 4 = 0 and x - 2 = 0

Step-by-step explanation:

x^2-6x+8=0\\(x-4)(x-2)=0

5 0
3 years ago
Read 2 more answers
09:30 to 17:00 minus 30 minutes <br> How many hours is that ?
pentagon [3]

Answer:

7 hours

Step-by-step explanation:

9 : 30 to 17:00 = 7 hours 30 minutes

Minus 30 minutes = 7 hours

6 0
3 years ago
Use the cross product property to solve each equation: 5/7 = x/9
enot [183]

Answer:

x = 45/7

Step-by-step explanation:

\frac{5}{7} =\frac{x}{9}

Here, you can more easily see what the fractions look like.

In order to cross-multiply, you have to multiply 5 with 9, and 7 with x.

45 = 7x

Then, you isolate x by dividing 7 on both sides:

45/7 = x

Hope I helped :)

8 0
3 years ago
Inequality<br><br> Show your step by step solution to this.<br><br> 5-2x&gt;17
bonufazy [111]

<u><em>Answer: x<-6 *The answer should be the negative sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

subtract 5 both sides of an equation.

5-2x-5>17-5

simplify.

-2x>12

multiply by -1 both sides of an equation.

(-2x)(-1)<12(-1)

simplify.

2x<-12

divide by 2 both sides of an equation.

2x/2<-12/2

-12/2=-6

12/2=6

6*2=12

12/6=2

x<-6

Hope this helps!

Thanks!

Have a great day!

3 0
3 years ago
Can someone please simplify 6r times s times 4rt?
Ahat [919]
6r × s × 4rt = (6 × 4)(r × r)(st) = 24r²st
7 0
3 years ago
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