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3 years ago

Use (x-3)^2 -6 to solve x^2-6x+3=0 leave your answer in surd form

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

$x=3\pm\sqrt{6}$

Step-by-step explanation:

$(x-3)^2-6=0$

$(x-3)^2=6$

$x-3=\pm\sqrt{6}$

$x=3\pm\sqrt{6}$

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Jobisdone [24]

C+s=48
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3 years ago

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The greater of two consecutive EVEN numbers is 40 less than twice the smaller number. Find the larger number

Bas_tet [7]

Answer:

Step-by-step explanation:

z - some integer

2z - first given even integer (the smaller one)

2z+2 - even integer consecutive to 2z (the larger one)

2(2z) - twice the smaller number

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3 years ago

Challenge question<br>please help<br>

Pani-rosa [81]

Answer:

The 3 possible values of x are;

6, 4 and 2

Step-by-step explanation:

If the triangle is isosceles, then two of the sides must be equal

So we equate the sides, 2 at a time to get the different values of x

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3 years ago

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mariarad [96]

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3 years ago

The school that Mary goes to is selling tickets to a spring musical. On the first day of ticket sales

andrezito [222]

Answer:

The cost of one adult ticket is $13, and the price of one student ticket is $4.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of an adult ticket

y is the cost of a student ticket.

6 adult tickets and 1 student ticket for a total of $82

This means that

$6x + y = 82$

$y = 82 - 6x$

The school took in $51 on the second day by selling 3 adult tickets and 3 student tickets.

This means that

$3x + 3y = 51$

Simplifying by 3

$x + y = 17$

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$x + 82 - 6x = 17$

$-5x = -65$

$5x = 65$

$x = \frac{65}{5} = 13$

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The cost of one adult ticket is $13, and the price of one student ticket is $4.

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3 years ago