PLEASE HELP!!!!!!!!!!!!!!!

Find all real solutions to the equation (x² − 6x +3)(2x² − 4x − 7) = 0.

Jet001 [13]

Answer:

x = 3 + √6 ; x = 3 - √6 ; $x = \frac{2+3\sqrt{2}}{2}$ ; $x = \frac{2-(3)\sqrt{2}}{2}$

Step-by-step explanation:

Relation given in the question:

(x² − 6x +3)(2x² − 4x − 7) = 0

Now,

for the above relation to be true the following condition must be followed:

Either (x² − 6x +3) = 0 ............(1)

or

(2x² − 4x − 7) = 0 ..........(2)

now considering the equation (1)

(x² − 6x +3) = 0

the roots can be found out as:

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

for the equation ax² + bx + c = 0

thus,

the roots are

$x = \frac{-(-6)\pm\sqrt{(-6)^2-4\times1\times(3)}}{2\times(1)}$

or

$x = \frac{6\pm\sqrt{36-12}}{2}$

or

$x = \frac{6+\sqrt{24}}{2}$ and, x = $x = \frac{6-\sqrt{24}}{2}$

or

$x = \frac{6+2\sqrt{6}}{2}$ and, x = $x = \frac{6-2\sqrt{6}}{2}$

or

x = 3 + √6 and x = 3 - √6

similarly for (2x² − 4x − 7) = 0.

we have

the roots are

$x = \frac{-(-4)\pm\sqrt{(-4)^2-4\times2\times(-7)}}{2\times(2)}$

or

$x = \frac{4\pm\sqrt{16+56}}{4}$

or

$x = \frac{4+\sqrt{72}}{4}$ and, x = $x = \frac{4-\sqrt{72}}{4}$

or

$x = \frac{4+\sqrt{2^2\times3^2\times2}}{2}$ and, x = $x = \frac{4-\sqrt{2^2\times3^2\times2}}{4}$

or

$x = \frac{4+(2\times3)\sqrt{2}}{2}$ and, x = $x = \frac{4-(2\times3)\sqrt{2}}{4}$

or

$x = \frac{2+3\sqrt{2}}{2}$ and, $x = \frac{2-(3)\sqrt{2}}{2}$

Hence, the possible roots are

x = 3 + √6 ; x = 3 - √6 ; $x = \frac{2+3\sqrt{2}}{2}$ ; $x = \frac{2-(3)\sqrt{2}}{2}$

7 0

2 years ago

What is angle A equal? <br><br> Thanks :)

Alex Ar [27]

Angle A and angle B sums up to 180 (interior angles)

6x - 35 + 3x + 53 = 180
9x + 18 = 180
9x = 162
x = 18

angle A = 6(18)-35 = 73 degrees

7 0

1 year ago

Read 2 more answers

Annie goes shopping for vacation She buys 5 beach towels and 3 bathing suits and she spent $56. If the items are all the same pr

Rufina [12.5K]

Answer:

$7

Step-by-step explanation:

5 beach towels + 3 bathing suits = 8 items total bought

$56 spent divided by 8 total items bought = $7 per item

8 0

3 years ago

Which statement is true of the function f(x) = ? Select three options.

Marianna [84]

Answer:

The function has a domain of all real numbers.

The function has a range of {y|–∞ < y <∞ }.

The function is a reflection of y=∛x

Step-by-step explanation:

Given:

f(x)=-∛x

domain is set of all values that x can take for which the function is defined, so

for above function domain= set of all real numbers

range is set of values that corresponds to the set of values of domain, so for given f(x) range={y|–∞ < y <∞ } set of real numbers

Now f(x)=-∛x hence its reflection will be

-f(x)=-(-∛x)

y=∛x !

3 0

3 years ago

Read 2 more answers

5 peas equals 1 pod. 4 pods equals 1/2 ping. 3 pings equals how many peas? Please give me the full explanation so I can know for

salantis [7]

Answer:

120 peas in 3 pings

Step-by-step explanation:

(5x8)3

5 0

3 years ago