A + b = 4a please help
1 answer:
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Answer:
The solutions of the equation are:
4/3 and 5/8
Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.
1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20
Now, to get the roots, we will use the quadratic equation shown in the attached image.
Substituting in the equation, we would find that:
either x =
or x =
2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3
Hope this helps :)
The solutions of the equation are:
4/3 and 5/8
Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.
1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20
Now, to get the roots, we will use the quadratic equation shown in the attached image.
Substituting in the equation, we would find that:
either x =
or x =
2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8
and 1.3333 which is equivalent to 4/3
Hope this helps :)
The length of a side of square is 5.
Step-by-step explanation:
Given,
Area of square = a²
Perimeter of square = 4a
According to given statement;
Area of square = Perimeter + 5
Factorizing the equation;
Either,
a-5=0 => a=5
Or,
a+1=0 => a= -1
As length of a side cannot be negative, therefore,
Length of a side of square = 5
The length of a side of square is 5.
Keywords: area, perimeter
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