Find all solutions of x^2-x-6 using the quadratic formula
From the given quadratic, we have a=1, b=-1, and c=-6. We substitute these values into the quadratic formula, x=-b+-sqrt(b^2-4ac)/2a, giving us x=-1+-sqrt(-1^2-41-6)/2*1. This simplifies to x=1+-5/2. Keeping the positive sign we get x=1+5/2 which means x=3. Or we keep the negative sign and get x=1-5/2, which gives x=-2. So the solutions are x=3 or x=-2.
JH
Related Maths GCSE answers
All answers ▸When will I use this in my everyday life?
Prove that the square of an odd number is always 1 more than a multiple of 4
There are 35 people in a group. x(x+1) of them have a blue car, 5x of them have a red car, 4 have a blue and a red car and 4x-8 do not have car. Work out the probability that a person who has a blue car, has a red car as well.
There are n sweets in a bag, 6 of which are red. The rest of the sweets are blue. Jen removes 1 sweet from the bag. Jen then takes another sweet from the bag. The probability that Hannah takes two red sweets is 1/3. Show that n²-n-90=0.