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Solve (x - 3)^2 = 5 p

please help

User JSWork
by
4.9k points

2 Answers

12 votes

Answer:

p=(x−3)25

Explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(x-3)^2-(5*p)=0

STEP1:

1.1 Evaluate : (x-3)2 = x2-6x+9

Equation at the end of step1:

x2 - 6x - 5p + 9 = 0

STEP2:

Solving a Single Variable Equation:

2.1 Solve x2-6x-5p+9 = 0

User Ben Gartner
by
4.5k points
9 votes

Hello!

Let's solve !

⇒ (x - 3)² = 5

⇒ x² - 6x + 9 = 5

⇒ x² - 6x + 4 = 0

⇒ x = -(-6) ± √36 - 4(1)(4) / 2

⇒ x = 6 ± √20 / 2 = 6 ± 2√5 / 2

⇒ x = 3 ± √5

∴ The solutions are x = 3 + √5 and x = 3 - √5.

User Oliverbarnes
by
5.3k points