Respuesta :

MrGumby

For this standard for, a = -1, b = 0 and c = 18.

In order to find this, you must first multiply the two parenthesis by each other.

(5 + x)(5 - x)

25 + 5x - 5x - x^2

25 - x^2

Now we need to set it equal to the other side and solve for 0.

25 - x^2 = 7 ----> subtract 7 from both sides.

18 - x^2 = 0 -----> now readjust the order

-x^2 + 18 = 0

So, once we've reached here, the a value is always the coefficient of the x^2 term (-1), b is the value of the coefficient of the x term (0) and c is the constant (18).

The values a = -1, b = 0, c = 18 needed to write the equation's standard form (5 + x)(5 - x) = 7

What is equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

What is quadratic equation?

  • "It is a polynomial equation of degree 2."
  • "The standard form of quadratic equation is [tex]ax^2+bx+c=0[/tex], where a, b, c are real numbers with [tex]a\neq 0[/tex]. "

For given question,

We have been given an equation, (5 + x)(5 - x) = 7

First we simplify above equation.

[tex]\Rightarrow (5 + x)(5 - x) = 7\\\\\Rightarrow 5^2 - x^2 = 7\\\\\Rightarrow 25 - x^2-7=0\\\\\Rightarrow -x^2+18=0[/tex]

Comparing above equation with the standard form of quadratic equation [tex]ax^2+bx+c=0[/tex] we have,

a = -1, b = 0, c = 18

Therefore, the values a = -1, b = 0, c = 18 needed to write the equation's standard form (5 + x)(5 - x) = 7

Learn more about quadratic equation here:

https://brainly.com/question/17177510

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