Jennyrosee37idn
Answered

Makakuha ng mga sagot sa iyong mga tanong mula sa komunidad ng IDNStudy.com. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

find the solution of the following quadratic equation x squared minus 4x + 4 = 0​

Sagot :

KAntoineDoixidn

✏️QUADRATIC

==============================

[tex] \large \bold{\blue{PROBLEM:}} [/tex] find the solution of the following quadratic equation x squared minus 4x + 4 = 0.

  • [tex] x^2 - 4x + 4 = 0 [/tex]

[tex] \large \bold{\blue{SOLUTION:}} [/tex] The quadratic equation is already in standard form. Find the values of a, b, and c.

  • [tex] \boxed{ax^2 + bx + c = 0} [/tex]

  • [tex] a = 1, \: b = \text-4, \: c = 4 [/tex]

» Substitute the values to the quadratic formula to determine solutions.

  • [tex] \boxed{x = \frac{\text-b \pm \sqrt{b^2 - 4ac}}{2a}} [/tex]

  • [tex] x = \frac{\text-(\text-4) \pm \sqrt{(\text-4)^2 - 4(1)(4)}}{2(1)} \\ [/tex]

  • [tex] x = \frac{\text-(\text-4) \pm \sqrt{16 - 4(1)(4)}}{2(1)} \\ [/tex]

  • [tex] x = \frac{4 \pm \sqrt{16 - 16}}{2} \\ [/tex]

  • [tex] x = \frac{4 \pm \sqrt{0}}{2} \\ [/tex]

» Since the discriminant (b² - 4ac) is equal to zero, then there will be one solution for this equation.

  • [tex] x = \frac{4}{2} \\ [/tex]

  • [tex] x = 2 [/tex]

[tex] \large \therefore \underline{\boxed{\tt \purple{x = 2}}} [/tex]

==============================

#CarryOnLearning

(ノ^_^)ノ

JuniorZxidn

✏️ANSWER

  • X = 2

==============================

✏️Solution

X² - 4x + 4 = 0

(X - 2)² = 0

X - 2 = 0

X = 2

==============================

Step By Step Explanation:

-----------------------------------------

Step 1:

  • Factor the expression using a² + 2ab + b² = (a + b)²
  • X² - 4x + 4 = 0

Step 2:

  • The exponential term is zero if and only if the base is zero.
  • (X - 2)² = 0

Step 3:

  • Rearrange unknown term to the left side of the equation.
  • X - 2 = 0

FINAL ANSWER:

  • → X = 2

Maraming salamat sa iyong kontribusyon. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay napakahalaga sa ating komunidad. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.