Final answer:
To find the positive solution of the quadratic equation x²-x-12=0, we can factorize the equation. The positive solution is x=4.
Step-by-step explanation:
To find the positive solution of the quadratic equation x²-x-12=0, we can factorize the equation or use the quadratic formula. In this case, let's factorize it. We need to find two integers whose sum is -1 and whose product is -12. The integers are -4 and 3. So, the factored form of the equation is (x-4)(x+3)=0. Setting each factor equal to zero, we have x-4=0 or x+3=0. Solving for x, we find the positive solution to be x=4.