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timama [110]
3 years ago
10

Write an equation that has a solution of 7, includes a variable, and uses multiplication. Write a real-world problem that you co

uld represent with your equation. Show how you know that 7 is the solution
Mathematics
1 answer:
valentina_108 [34]3 years ago
7 0

Answer:

Equation is -------- 2x=14

Variable= x ------------represents a student

solution= 7--------------number of oranges each student will get

Step-by-step explanation:

For example, a basket has 14 oranges.John and Jane want to share the fruits equally.How many oranges will each student get?

Let number of oranges to be =14 ---------------given value

Let a single student be represented by x-------------------variable

For two students, the number will be 2x---------------------multiplication

Number of oranges per students will be;

2x=14\\\\\\x=\frac{14}{2} \\\\\\x=7

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6. Solve by factoring: 2x²-11x+14=0
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Step-by-step explanation:

Solve 2x^2-11x+14=0 give me 2 ways to get the 2 values of x?

The first way is to make factors by middle-term splitting. You get (x-2)(2x-7)=0, so the solution is x=2,7/2.

The other way is to use the formula for the solution of roots. Roots= (-b+ rootD)/2a, (-b-rootD)/2a, if the equation is of the form ax^2+bx+c=0. Here D is the discriminant. D=b^2-4ac

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Lets assume your equation is of the form ax^2+ bx + c =0

First method :

By breaking 'b' factor of x into two parts using factors of 'ac' ( a *c)

like 2* 14 = 28 = 7* 4 ( b is 11 which could be splitted in values 7 and 4)

equation becomes 2x^2 -4x-7x+14 = 0

take out common factors 2x(x-2) -7 (x-2) = 0

which is (2x-7) (x-2) =0 ; x =2,7/2 are two values

Second method:

make equation in the form of (x+h)^ 2 - k = 0 ; then x+h = +sqrt(k) and -sqrt(k)

which will give x as -h+sqrt(k) , +sqrt(k)

2x^2 - 11x +14 =0 wil become x^2 -11/2 x + 7 = 0

which is (x-11/4)^2 + 7- 121/16 =0

(x-11/4)^2 = (121/16) - 7 = 9/16

x- 11/4 = 3/4 and -3/4

x = 14/4 and 8/4 = 7/2 and 2

3 0
2 years ago
Read 2 more answers
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