All categories

3 years ago

Is the equation x9 - 5x3 + 6 = 0 quadratic in form? explain why or why not.

Mathematics

2 answers:

Varvara68 [4.7K]3 years ago

6 0

Answer:

Yes.

Step-by-step explanation:

Yes, because we can replace x^3 by another variable, say y:

x^9 - 5x^3 + 6 = 0

Let x^3 = y, then we have x^9 = (x^3)^2 = y^2:

y^2 - 5y + 6 = 0 which is quadratic from.

Alexandra [31]3 years ago

5 0

Answer:

The equation is not quadratic in form.

The variable part of the first term is not the square of the variable part of the

second term.

The result of squaring x cubed is x to the 6th power, not the 9th power.

x9(not equal to) (x^3)^2

Step-by-step explanation:

You might be interested in

Fully factorise x² + 7x+6

marin [14]

$\\ {\large{\textsf{\textbf{\underline{\underline{ Question \: :}}}}}} \\$

Factorise ;

x² + 7x+6

$\qquad\rule{120pt}{2pt}$

$\\ {\large{\textsf{\textbf{\underline{\underline{ Solution \: :}}}}}} \\$

$\\ \sf \implies \: {x}^{2} + 7x+6 \\$

$\\ \sf \implies \: {x}^{2} + 6x + x+6 \\$

$\\ \sf \implies \: x(x + 6) +1 (x+6) \\$

$\\ \sf \implies \: (x + 6) (x+1) \\$

$\\ \sf \implies \: x + 6= 0 \:\:\:\: and\:\:\:\: x+1=0 \\$

$\\ \sf \implies \: x= 0 -6\:\:\:\: and\:\:\:\: x=0-1 \\$

$\\ \sf \implies \: x= -6\:\:\:\: and\:\:\:\: x=-1 \\$

$\\\sf\implies\;{\underline{\boxed {\bf{ \:\:x=-6\:\: }}} }\red\bigstar \;\; \;\; \;{\underline{\boxed {\bf{ \:\:x=-1\:\: }}} }\red\bigstar \\$

$\\\qquad\rule{120pt}{2pt}\\$

5 0

1 year ago

Read 2 more answers

A square is a quadrilateral always sometimes never

lbvjy [14]

A quadrilateral is a shape with 4 sides, regardless of their lengths, angles, or symmetry.

Therefore, a square is always a quadrilateral.

6 0

3 years ago

Read 2 more answers

Box of cereal contains 23.4 ounces. Cost $5.49. What’s the cost per ounce?

Sedaia [141]

Answer:

it 4.262295082

Step-by-step explanation:

you have to divid the ounces by the cost

6 0

3 years ago

What is the lcm of 8,12,3

kramer

Answer: 24

Step-by-step explanation:

Lowest common multiple means the lowest number that can be divisible by 8,12,3

Looking at this, let's pick 8&3 first

8×3=24

12×3=36

12×8=96

Looking at this value,24 seems to be the lowest,

Therefore the lowest common multiple is 24

5 0

3 years ago

Gracelyn has multiple sticks of different lengths to build a triangle for a class project. Which 3 lengths could Gracelyn choose

romanna [79]

Hello

11 cm, 25 cm, 15 cm
if you add the lengths of two sides of the triangle, it must be greater than the length of the third side

therefore, the only possible lengths are 11 cm, 25 cm, 15 cm

Have a nice day

8 0

3 years ago