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Sliva [168]
3 years ago
9

if the sum of two numbers is four and the sum of their squares minus three times their product is 76, find the numbers

Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

Numbers =(6,-2 )

Step-by step explanation:

Given

the sum of two numbers is four and the sum of their squares minus three times their product is 76,

Let the first term =X

Second term will be=4-x

So

X^2+(4-x)^2-3x(4-x)=76

x^2+16+x^2-8x-12x+3x^2=76

5x^2-20x+16=76

5x^2-20x-60=0

5(x^2-4x-12)=0

So x^2-4x-12=0

x^2-(6-2)x-12=0

x^2-6x+2x-12=0

X(x-6)+2(x-6)=0

(X-6)(X+2)=0

X=6,-2

Let X=6 and -2 then numbers will be 6 and (4-6)=-2

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7 0
3 years ago
I need help on the question in the picture.
Zigmanuir [339]

Answer:

A. There is no solution

Step-by-step explanation:

\frac{1}{3}(12x - 6) = 4x - 9

Evaluate.

4x - 2 = 4x - 9

Deduct 4x from both sides of the equation.

-2 = -9

Multiply both sides by (-1).

2 ≠ 9

Since 2 does not equal to 9, this equation does not make sense and thus does not have a solution.

4 0
2 years ago
For the equation 2(4x+10)=8x+k, which value of K will create an equation with infinitely many solutions?
saw5 [17]

Answer:

For given linear equation having infinite many solution the value of k is 20  .

Step-by-step explanation:

Given as :

The equation is 2 (4 x + 10) = 8 x + k

For infinite many solution , if the variable cancel out to zero then it will have infinite many solutions

<u>So, from given linear equation</u>

i.e 2 (4 x + 10) = 8 x + k

Or, 2 × 4 x + 2 × 10 = 8 x + k

Or, 8 x + 2 × 10 = 8 x + k

Or, 8 x + 20 = 8 x + k

Or, k + (8 x - 8 x) = 20

Or, k + 0 = 20

∴   k = 20

So, The vale of k  = 20

Hence, For given linear equation having infinite many solution the value of k is 20  . Answer

3 0
3 years ago
Eric has $100,000 in savings account.The interest rate is 8 % per year and is not compounded.To the nearest Dollar,how much will
Roman55 [17]

Answer:

To calculate the simple interest, we say

S.I = (PxRxT)/100

Where P = the principal amount

R= rate in terms of %

And T= time.

Now P= $100 000

R= 8%

T= 3 years

S.I= (100,000 x8 x3)/100

=$2 400 000/100

= $24, 000

So the interest is 24000

Total amount he will be having = 100000 + 24 000

The total money he will be having in 3 years time = $124 000

Step-by-step explanation:

7 0
3 years ago
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marin [14]
The answers are congruent and intersecting
7 0
3 years ago
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