Please help me, 65 points to someone who can help me.
2 answers:
X= -1/2, -11/2 or in decimal form x=-0.5, -5.5
Answer:
- <u>x = -0.5 , x = -5.5</u>
Step-by-step explanation:
<u>Solving</u>
- -4x² = 24x + 11
- 4x² + 24x + 11 = 0
- 4x² + 24x + 36 - 36 + 11 = 0
- (2x + 6)² - 25 = 0
- (2x + 6)² = 25
- ⇒ 2x + 6 = ±5
<u>Case 1 : x = +5</u>
- 2x + 6 = 5
- 2x = -1
- x = -1/2
- <u>x = -0.5</u>
<u></u>
<u>Case 2 : x = -5</u>
- 2x + 6 = -5
- 2x = -11
- x = -11/2
- <u>x = -5.5</u>
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