Quadratic equations 1 Solve \( x^{2}-x-30=0 \) using the factorisation method. \( x^{2}-x-30=0 \) \( x^{2}+\square x-\square x-30=0 \) \( (x+\square)(x-\square)=0 \) \( x+\square-0 \) or \( x-\square= \) \( x=-\square \) or \( x=\square \)
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor


Beyond the Answer
Let's tackle that quadratic equation! We need two numbers that multiply to -30 and add up to -1. Those numbers are -6 and 5, so we rewrite the equation as \( (x - 6)(x + 5) = 0 \). Now we set each factor equal to zero: \( x - 6 = 0 \) or \( x + 5 = 0 \). This gives us the solutions \( x = 6 \) or \( x = -5 \). And voilà, you've solved it! Now, this method of factorizing is a great time-saver! It's like being a mental ninja—quickly slicing through numbers! But remember, if the equation doesn't factor neatly, you might want to use the quadratic formula instead—keep that tool in your toolkit! Happy solving!