Solve "x^2 - 12x - 45 = 0" by completing the square

The equation is of the formx2+bx+c=0This means it can be rearranged to(x+(b/2))2=(b/2)2-cTaking the square root of both sides leaves us with x.
x2-12x-45=0(x-(12/2))2-(12/2)2-45 = 0(x-6)2-62-45 = 0(x-6)2 = 45 + 36(x-6)2 = 81x-6 = 9x= 6 + 9 = 15

EJ

Related Maths GCSE answers

All answers ▸

A shop sells only Apples, Bananas and Mangos. The ratio of Apples to Bananas is 5:11. The next shopper will choose one piece of fruit at random. The probability that they buy a Mango is 0.2. What is the probability that they buy an Apple?


Expand (x+1)(x-4)


In a village the number of houses and the number of flats are in the ratio 7 : 4. The number of flats and the number of bungalows are in the ratio 8 : 5 . There are 50 bungalows in the village. How many houses are there in the village?


Factorise x^2+12x+7