missgurlpurrr
Answered

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Consider the equation: x^2-51=14x Rewrite the equation by completing the square and what the solution to the equation​

Sagot :

dmarie22

Answer:

x = 17, -3

Step-by-step explanation:

I'm not sure why this is the answer I only know because I've had it before

pretty sure you have to use (b/2) ^2

The complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Rearranging the equation x² - 51 = 14

x²- 14x -51 = 0
x² - 14x + 49 - 49 - 51 = 0
(x - 7)² = 100
x - 7 = √100
x - 7 = ± 10
Taking RHS positive,
x - 7 = 10
x = 17
Taking RHS negative
x - 7 = -10

x = 7 - 10
x = -3

Thus, the complete square of the given equation is (x - 7)² = 100 and the solution to the equation is x = 17 and -3.

Learn more about polynomial function here:

https://brainly.com/question/12976257
#SPJ5

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