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lara31 [8.8K]
2 years ago
11

X^2-4x+3=0 write it in standard form.

Mathematics
2 answers:
Oliga [24]2 years ago
6 0

Step-by-step explanation:

x²-4x+3=0

x²-4x=-3

take half of -4 square it and add it to both side

x²-4x+(-2)²=4-3

(x-2)²=1

x-2=±1

x=2±1

x=1,3

trasher [3.6K]2 years ago
4 0

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

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The triangles are similar
hoa [83]

Answer:

Part 1) x=16\ units

Part 2) x=23\ units

Part 3) AE=20\ units

Part 4) x= 6.25\ units

Part 5) x=26.67\ in

Step-by-step explanation:

Part 1) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{12}{3}=\frac{x}{4}\\\\3x=12*4\\ \\x=48/3\\ \\x=16\ units

Part 2) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{36}{12}=\frac{39}{(x-10)}\\\\3(x-10)=39\\ \\x=(39/3)+10\\ \\x=23\ units

Part 3) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{AB}{CD}=\frac{AE}{ED}

substitute the values

\frac{10}{4}=\frac{2x+10}{x+3}

2.5(x+3)=2x+10

2.5x+7.5=2x+10

2.5x-2x=10-7.5

0.5x=2.5

x=5\ units

AE=2x+10=2*5+10=20\ units

Part 4) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{4}{5}=\frac{5}{x}\\ \\4x=5*5\\ \\ x=25/4\\ \\ x= 6.25\ units

Part 5) we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal

so

In this problem

\frac{30}{x}=\frac{45}{40}\\ \\45x=30*40\\ \\x=1,200/45\\ \\ x=26.67\ in



3 0
3 years ago
Read 2 more answers
If a and B are the zeros of the quadratic polynomial f(x) = x2- 5x + 4 find the value of 1/a+1/b-2ab
bearhunter [10]

Answer:

<h2>-27/4</h2>

Step-by-step explanation:

Given the quadratic polynomial given as g(x) = x²- 5x + 4, the zeros of the quadratic polynomial occurs at g(x) = 0 such that x²- 5x + 4 = 0.

Factorizing the resulting equation to get the roots

x²- 5x + 4 = 0

(x²- x)-(4 x + 4) = 0

x(x-1)-4(x-1) = 0

(x-1)(x-4) = 0

x-1 = 0 and x-4 = 0

x = 1 and x = 4

Since a and b are known to be the root then we can say a = 1 and b =4

Substituting the given values into the equation  1/a+1/b-2 ab , we will have;

= 1/1 + 1/4 - 2*1*4

= 1 + 1/4 - 8

= 5/4 - 8

Find the Lowest common multiple

= (5-32)/4

= -27/4

<em>Hence the required value is -27/4</em>

5 0
3 years ago
Please help me with this pleaseee
torisob [31]

Answer:

x = 88.2

Step-by-step explanation:

The angle at the top of the triangle = 90° - 10° = 80°

and the left side of the triangle is x ( opposite sides of a rectangle )

Using the tangent ratio in the right triangle

tan80° = \frac{opposite}{adjacent} = \frac{500}{x}

Multiply both sides by x

x × tan80° = 500 ( divide both sides by tan80° )

x = \frac{500}{tan80} ≈ 88.2

5 0
3 years ago
which equations are equivalent to 3/4+m=-7/4 check all that apply m=10/4 m=-10/4 m=-5/2 11/4+m=-1/4 -5/4+m=-15/4 m+2=-0.5 Help f
Alecsey [184]

Answer:

The correct choices are; B,C,E, and F.

Step-by-step explanation:

The given equation is;

\frac{3}{4}+m=-\frac{7}{4}

We solve for m to obtain:

m=-\frac{7}{4}-\frac{3}{4}=-2.5

We also solve the remaining equations to see which ones give the same result.

A: m=\frac{10}{4} =2.5

B:m=-\frac{10}{4} =-2.5

C:m=-\frac{5}{2} =-2.5

D: \frac{11}{4}+m=-\frac{1}{4}

m=-\frac{1}{4}-\frac{11}{4}=-3

E: -\frac{5}{4}+m=-\frac{15}{4}

m=-\frac{15}{4}+\frac{5}{4}=-2.5

F: m+2=-0.5

m=-0.5-2=-2.5

The equivalent equations are; B,C,E, and F.

3 0
3 years ago
Read 2 more answers
What is a distance formula?
ludmilkaskok [199]
That is a distance formula I was gonna type it but I didn’t have the symbols so use the picture attached.

6 0
2 years ago
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