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dedylja [7]
3 years ago
7

Solve this quadratic equation using factorisation. I will give brainliest, 5 stars and thanks! :) Kind of urgent, I don't have l

ong to hand my assignment in.
x^2 - 6 = 5x

(Please explain how you worked it out as well, I'm not very confident with this and I need to know how it's done. Thank you :) )
Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

x2 + 5x-6

Step-by-step explanation

Consider the form

x

2

+

b

x

+

c

. Find a pair of integers whose product is

c

and whose sum is

b

. In this case, whose product is

−

6

and whose sum is

5

.

−

1

,

6

Write the factored form using these integers.

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Determine the value of a and b so that x^4 6x^3 +7x^2+ax+b is a perfect square
posledela

Step-by-step explanation:

(Ax² + Bx + C)²

= (Ax² + Bx + C)(Ax² + Bx + C)

= Ax⁴ + 2ABx³ + 2ACx² + 2BCx + C².

By Comparing Coefficients, we have:

A = 1

2AB = 6

2AC = 7

2BC = a

C² = b

Solving them we get A = 1, B = 3 and C = 3.5.

Therefore a = 2BC = 2(3)(3.5) = 21,

b = C² = (3.5)² = 12.25.

3 0
3 years ago
A function is in the form g(X) = ax^2 + d. If a is greater than 1 and d is negative, which could be the graph of g(x)?
romanna [79]

Answer:

Option B

Step-by-step explanation:

Step-by-step explanation:

We have the function g(x)=ax^2 +d  then, by definition:

If  0 then the graph is compressed vertically by a factor a.

If  |a| > 1 then the graph is stretched vertically by a factor a

If a  then the graph is reflected on the x axis.

If d> 0 the graph moves vertically upwards d units.

If d the graph moves vertically down  d units.

We know that:

a > 1 then the graph is stretched vertically by a factor a

and

d the graph moves vertically down  d units

The searched graph is stretched vertically and its vertex is displaced downwards

The answer is option B

8 0
3 years ago
5 less than a number is equivalent to 1 more than three times the number
kifflom [539]

Answer:

x-5=3x+1 (x=-3)

Step-by-step explanation:

5 less (_-5)

than a number (x)

is equivalent to (=)

1 more than (+1)

than three times the number (3x)

combine them all to get x-5=3x+1

extra:

add 5 to each side x=3x+6

subtract x from each side 0=2x+6

subtract 6 from each side -6=2x

divide each side by 2 -3=x

6 0
3 years ago
A sequence is:
Phoenix [80]
Hi there!

The answer is <span>a) an arrangement of quantities whose positions are based upon the natural numbers

Your friend, ASIAX
</span>
3 0
3 years ago
Read 2 more answers
A rectangular prism has a volume of 100 cubic meters. One of the dimensions is 5 meters. Which pair of measurements could be the
natali 33 [55]

Answer:

1, 4, and 5

Step-by-step explanation:

1 is correct because 5*5=25*4=100

2 is incorrect because 5*5=25*5=125

3 is incorrect because 5*4=20*4=80

4 is correct because 5*20=100*1=100

5 is correct because 5*2=10*10=100

6 is incorrect because 5*10=50*10=500

4 0
4 years ago
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