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3 years ago

Solve using quadratic formula Show work/explain X^2 - 2x - 24 = 0

Mathematics

1 answer:

Likurg_2 [28]3 years ago

4 0

See the attached picture:

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8.1 + 2.53 help help

Bingel [31]

Answer: 10.63

Step-by-step explanation: 8.1 + 2.53

7 0

3 years ago

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21. In 4 + In(4x - 15) = In(5x + 19)

Alexxx [7]

Answer:

$x=-30;\quad \:I\ne \:0$

Step-by-step explanation:

$In\cdot \:4+In\left(4x-15\right)=In\left(5x+19\right)$

$\:4+In\left(4x-15\right):\quad -11nI+4nxI\\In\cdot \:4+In\left(4x-15\right)\\=4nI+nI\left(4x-15\right)\\\\\:In\left(4x-15\right):\quad 4nxI-15nI\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=In,\:b=4x,\:c=15\\=In\cdot \:4x-In\cdot \:15\\=4nxI-15nI\\=In\cdot \:4+4nxI-15nI\\\mathrm{Simplify}\:In\cdot \:4+4nxI-15nI:\quad -11nI+4nxI\\In\cdot \:4+4nxI-15nI\\\mathrm{Group\:like\:terms}\\=4nI-15nI+4nxI\\\mathrm{Add\:similar\:elements:}\:4nI-15nI=-11nI\\=-11nI+4nxI\\$

$\mathrm{Expand\:}In\left(5x+19\right):\quad 5nxI+19nI\\In\left(5x+19\right)\\=nI\left(5x+19\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=In,\:b=5x,\:c=19\\=In\cdot \:5x+In\cdot \:19\\=5nxI+19nI\\\\-11nI+4nxI=5nxI+19nI\\\\\mathrm{Add\:}11nI\mathrm{\:to\:both\:sides}\\-11nI+4nxI+11nI=5nxI+19nI+11nI\\Simplify\\4nxI=5nxI+30nI\\\mathrm{Subtract\:}5nxI\mathrm{\:from\:both\:sides}\\4nxI-5nxI=5nxI+30nI-5nxI\\\mathrm{Simplify}\\-nxI=30nI\\$

$\mathrm{Divide\:both\:sides\:by\:}-nI;\quad \:I\ne \:0\\\frac{-nxI}{-nI}=\frac{30nI}{-nI};\quad \:I\ne \:0\\\mathrm{Simplify}\\\frac{-nxI}{-nI}=\frac{30nI}{-nI}\\\mathrm{Simplify\:}\frac{-nxI}{-nI}:\quad x\\\frac{-nxI}{-nI}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{-b}=\frac{a}{b}\\=\frac{nxI}{nI}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{xI}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=x\\\mathrm{Simplify\:}\frac{30nI}{-nI}:\quad -30\\\mathrm{Apply\:the\:fraction\:rule}:$

$\quad \frac{a}{-b}=-\frac{a}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:n\\=\frac{30I}{I}\\\mathrm{Cancel\:the\:common\:factor:}\:I\\=-30\\x=-30;\quad \:I\ne \:0$

3 0

3 years ago

Factor the polynomial completely. Use synthetic division. F(x) = x^3-7x-6

aleksklad [387]

Answer:

The factors of given polynomial x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial

f(x) = x³ - 7x -6

put x =-1

f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

x³ x² x constant

x=-1 ↓ 1 0 -7 -6

↓ 0 -1 1 6

1 -1 -6 0

The polynomial x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

x = -1 and x² - x - 6 =0

x =-1 and x² - 3x + 2 x - 6 =0

x =-1 and x (x -3) + 2( x-3) =0

x =-1 and (x+2)(x-3) =0

Final answer:-

The factors of given polynomial x =-1 , -2 and x =3

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3 years ago

Simplify this expression 7z+5+6z-9

Simora [160]

Answer:

7z + 5 + 6z - 9 (Add 7z and 6z, subtract 9 from 5)

13z - 4 (Can't be simplified further)

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3 years ago

Some help please? Which polynomial represents the difference below?

Helga [31]

So the right answer is of option D.

Look at the attached picture⤴

Hope it will help u...

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3 years ago

Read 2 more answers