2) Solve these equations by factorising. a) \( 5 x^{2}+6 x-11=0 \) (2) b) \( \quad(x+2)^{3}-3(x+2)^{2}=0 \) (2) \( \rightarrow \) Hint: DON'T do this by expanding! c) \( 2 \sqrt[3]{y}+2 \sqrt[6]{y}-12=0 \) [7 marks]
Added by John D.
Close
Step 1
1. Identify the quadratic equation: \(5x^2 + 6x - 11 = 0\). 2. Use the AC method: Multiply \(a\) and \(c\) (5 and -11) to get -55. 3. Find two numbers that multiply to -55 and add to 6. These numbers are 11 and -5. 4. Rewrite the middle term using these numbers: Show more…
Show all steps
Your feedback will help us improve your experience
Piyush Kumar Gupta and 91 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Factorize, using the factor theorem, then solve each equation. a) 2x3 - x2 - 6x = 0 b) x3 - 2x2 - 5x + 6 = 0
Piyush Kumar G.
Vishal P.
Mukesh D.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD