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Tema [17]
3 years ago
8

Solve the quadratic equation by completing the square. x2 + 4x - 3 = 0

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0
First move the constant to the other side of the equation by adding 3 to both sides...

x^2+4x=3

Now halve the linear coefficient, 4/2=2, square it, 2^2=4, and add that value to both sides...

x^2+4x+4=7, now the left side is a perfect square of the form...

(x+2)^2=7, now take the square root of both sides...

x+2=±√7,  subtract 2 from both sides...

x=-2±√7

So x=-2-√7 and -2+√7
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Find three consecutive even integers such that the sum of the first, twice the second, three times the third is -76. What is the
ss7ja [257]

Answer:

The numbers are -14,-13 and -12

Step-by-step explanation:

<u><em>The correct question is </em></u>

Find three consecutive integers such that the sum of the first, twice the second and three times the third is -76. What is the number?

Let

x ----> the first consecutive integer

x+1 ---> the second consecutive integer

x+2 ---> the third consecutive integer

we have that

x+2(x+1)+3(x+2)=-76

solve for x

apply distributive property

x+2x+2+3x+6=-76

Combine like terms

6x+8=-76

subtract 8 both sides

6x=-76-8

6x=-84

Divide by 6 both sides

x=-14

so

x+1=-14+1=-13

x+2=-14+2=-12

therefore

The numbers are -14,-13 and -12

3 0
3 years ago
Have a stack of quarters<br> from the floor to the top of<br> your head OR $225?
love history [14]

Answer:

225 quarters are easy to loose and who will accept that many quarters

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Consider the diagram below.<br> 42°<br> 18<br> y<br> Find x. Round to the nearest whole number!
OleMash [197]

Answer:

step by step Explanation:

Since this is a right triangle,

We can find the length b by using the Pythagoras theorem

a2+b2=c2

Plugin the values

→22+b2=62

→4+b2=36

→b2=32

Take the square root of both sides

→√b2=√32

→b=√16⋅2

⇒b=4√2

8 0
2 years ago
Find the missing factor 2x^2+15x+7=(2x+1)(?)
Genrish500 [490]

Answer:

? = (x + 7)

Step-by-step explanation:

2x^2 + 15x + 7 = (2x + 1) (?)

1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.

2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.

3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.

4. Check: (2x + 1) (x + 7) =

2x^2 + 14x + 1x + 7 =

2x^2 + 15x + 7

5 0
3 years ago
What is the simplest form of √324a^2b^6?
Aleks [24]
18 a^{2} b^{6}
6 0
3 years ago
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