All categories

2 years ago

Square root of x plus 8 end root minus 6 equals x

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

5 0

Answer:

Squaring both the sides, we get a quadratic and solving it, we find that the possible values of x are -7 and -4.

Step-by-step explanation:

The expression can be written as √(x+8) - 6 = x. Take 6 on the other side and square both the sides.

[√(x + 8)]² = (x + 6)²

x + 8 = x² + 12x + 36

x² + 11x + 28 = 0

x² + 7x + 4x + 28 = 0

(x + 7)(x + 4) = 0

x = -7 and x = -4

The possible values of x are -7 and -4.

For more explanation, refer the following link:

brainly.com/question/10572241

#SPJ10

You might be interested in

3(9-8x-4x)+8(3x+4)=11

Papessa [141]

3(9 - 8x - 4x) + 8(3x + 4) = 11

3(9 - 12x) + 8(3x + 4) = 11

27 - 36x + 24x + 32 = 11

59 - 12x = 11

-12x = 11 - 59

-12x = -48

x = 4

hope this helps, God bless!

4 0

3 years ago

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0

3 years ago

Solve h(x) = 5 - 9x Find h(8)

Alex_Xolod [135]

h(x) = 5 - 9x

h(8) = 5 - 9×8 ( putting value x = 8)

h(8) = 5 - 72

h(8) = -67

Answer is -67.

4 0

3 years ago

Read 2 more answers

Consider the following two ordered bases of R2 R2: BC=={⟨1,2⟩,⟨3,5⟩},{⟨−1,1⟩,⟨1,−2⟩}. B={⟨1,2⟩,⟨3,5⟩},C={⟨−1,1⟩,⟨1,−2⟩}. Find th

Tamiku [17]

Answer:

This question is maybe r2+ =>()0?

Step-by-step explanation:

7 0

3 years ago

Why was it not possible to increase the vertical scale by 0.5 each time ?

NNADVOKAT [17]

Answer:nothings not possible my friend (impossible)

Step-by-step explanation:

8 0

3 years ago