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2 years ago

What number should both sides of the following equation be multiplied by to solve for x?

Mathematics

1 answer:

Reptile [31]2 years ago

4 0

Answer:

$\frac{x}{7.25} = 4 \\ x = 4 \times 7.25 \\ x = 29$

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Solve this equation for x: 2x^2 + 12x - 7 = 0

zhannawk [14.2K]

Answer:

x=0.5355 or x=-6.5355

First step is to: Isolate the constant term by adding 7 to both sides

Step-by-step explanation:

We want to solve this equation: $2x^2 + 12x - 7 = 0$

On observation, the trinomial is not factorizable so we use the Completing the square method.

Step 1: Isolate the constant term by adding 7 to both sides

$2x^2 + 12x - 7+7 = 0+7\\2x^2 + 12x=7$

Step 2: Divide the equation all through by the coefficient of $x^2$ which is 2.

$x^2 + 6x=\frac{7}{2}$

Step 3: Divide the coefficient of x by 2, square it and add it to both sides.

Coefficient of x=6

Divided by 2=3

Square of 3= $3^2$

Therefore, we have:

$x^2 + 6x+3^2=\frac{7}{2}+3^2$

Step 4: Write the Left Hand side in the form $(x+k)^2$

$(x+3)^2=\frac{7}{2}+3^2\\(x+3)^2=12.5\\$

Step 5: Take the square root of both sides and solve for x

$x+3=\pm\sqrt{12.5}\\x=-3\pm \sqrt{12.5}\\x=-3+ \sqrt{12.5}, $ or $x= -3- \sqrt{12.5}\\$x=0.5355 or x=-6.5355$

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2 years ago

What is the sqaure root of 45n^5? In Radical Form.

laila [671]

<span>45n^(5/2) is the answer

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7 0

2 years ago

Read 2 more answers

Please help I’ll mark you as brainliest if correct!

Alex73 [517]

6ft and 3 inches is 190.5cm

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2 years ago

for an art project student needs to cover a shoebox with construction paper the shoe box has a length of 14 inches a width of 7

elixir [45]

Answer:

14×7×5=490 i am not sure the answer

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2 years ago

If the Diameter is ten then what is the area of it

Pepsi [2]

Answer:

78.54

Step-by-step explanation:

Hope this helps!

7 0

1 year ago