Which is the same solution a x2-16x+12 =0

Mathematics

1 answer:

Phoenix [80]2 years ago

7 0

Answer:

An equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

Step-by-step explanation:

The given expression is:

x2-16x+12

Break the constant term:

x^2-16x-36 +48=0

[x^2-16x-36] +48=0

Now break the middle term inside the brackets

(x^2-18x+2x-36)+48=0

Take the common

[x(x-18) +2(x-18)]+48=0

(x-18)(x+2)+48=0

Thus an equation which has the same solution as the given equation is:

( x - 18 ) ( x + 2 ) + 48 = 0 ....

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Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the so

Georgia [21]

In order to construct this equation, we will use the variables:
V to represent mixture volume (40 ml)
C to represent mixture concentration (0.32)
v₁ to represent volume of first solution (40 / 4 = 10 ml)
c₁ to represent concentration of first solution (0.2)
v₂ to represent the volume of the second solution (40 * 3/4 = 30 ml)
c₂ to represent the concentration of the second solution

We know that the total amount of substance, product of the volume and concentration, in the final solution is equal to the individual amounts in the two given solutions. Thus:
VC = v₁c₁ + v₂c₂
40(0.32) = 10(0.2) + 30c

6 0

3 years ago

Read 2 more answers

Use the distributive property to solve the equation 2(m + 2) = 22. Describe what it means to distribute the 2 to each term insid

Mumz [18]

Answer:

m = 9

It means that you are multiplying each of the values inside the parentheses by 2.

Step-by-step explanation:

2(m + 2) = 22

2m + 4 = 22

2m + 4 - 4 = 22 - 4