Question - Solving Quadratic Equation by Factoring
Solution:
The equation given in the image is:x(x - 1) - 12 = 0To solve this equation, let's first expand the brackets and then group terms:x^2 - x - 12 = 0This is a quadratic equation of the form ax^2 + bx + c = 0, with a = 1, b = -1, and c = -12. We can solve this equation by factoring, completing the square, or using the quadratic formula. Since this equation can be factored easily, let's try factoring:We need two numbers that multiply to -12 and add up to -1. Those numbers are -4 and 3. So we can write the equation as:(x - 4)(x + 3) = 0Now, set each factor equal to zero and solve for x:x - 4 = 0 or x + 3 = 0x = 4 x = -3Thus, the solutions to the equation are x = 4 and x = -3.
CamTutor
In regards to math, we are professionals.
Get In Touch
Email: camtutor.ai@gmail.com