Question

if two numbers are indirect you 7.13 and the sum of the number is 240 the larger number is ​

Answer 1

Answer:

What is the number if the sum of a number and its square is 240?

Expressing your problem in algebraic terms:

Let the unknown number be x :

x2+x=240

So the number, plus its square is 240. We are dealing with a quadratic equation, and thus we should expect two correct answers. Solving:

Method 1 (factorising - this just takes practice, I spotted 15 x 16 = 240):

x2+x−240=0

(x+16)(x−15)=0

∴x=15 or x=−16

Plug back in to check that these both work (they do)

Method 2 (if you can’t “spot” the factors - complete the square):

x2+x−240=0

(x+12)2−14−240=0

(x+12)2−14−9604=0

(x+12)2 = 9614

x+12=±9614−−−√

x=9614=−12±312

∴x=15 or x=−16

MARK AS BRAINLIEST

Answer 2

Answer:

pleasemark me brainalist please

Step-by-step explanation:

Since the numbers are positive integers, x=15. And x+1=15+1=16. Thus the two consecutive numbers are 15 and 16.