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what two numbers add up to -23 and multiply to make 120?

10 Answers

V
Verdie O'Kon

Feb 20, 2025

x+y=-23 ==> y=-x-23xy=120x(-x-23)=120x^2+23x+120=0Solve for quadratic equation:[-23+/- sqrt(23^2-4(1)(120))]/2x = -15, y = -8... Show More
V
Verdie O'Kon

Feb 20, 2025

X + Y = -23X times Y = 120Use this system of equation to solve.you will get -15 and -8... Show More
V
Verdie O'Kon

Feb 20, 2025

x= first numbery= second number1st equation x+ y = -23 or y= -23-x 2nd equation x*y= 120Substituting 1 in 2.... x times (-23-x)= 120Now please solve the quadratic equation and find the x. If nobody does iyt for you and you cant e-maill me... Show More
V
Verdie O'Kon

Feb 20, 2025

x+y=-23x=-23-yAlsoxy=120so substitute the -23-y for x and you gety(-23-y) =120y^2-23y=120Then use the quadratic formula.x is plus or minus 11.5,... Show More
V
Verdie O'Kon

Feb 20, 2025

(-8) + (-15) = -23and(-8) (-15) = +120 1) Form equations and solve to get the answer.Here, the eqns are x + y = -23 and xy = 120y = -23 -xSub in the other as x(-23-x) = 120-23x-x^2 = 120 x^2 + 23x + 120 = 0Solution for this isx = [ -23 + sqrt{23^2 - 4(1)(120)} ]/2 and x = [ -23 - sqrt{23^2 - 4(1)(120)} ]/2Solve and u'll get -8 and -152) Trial & Error120 = 12 * 10= 4 3 5 * 2= 4 ( 3 5) * 2 ---> Combine suct that their sum is 23.= (42) (35)= 8 * 15 --->8+15=23Since the req. 2 nos. add to give -23, ur answer should be negative.Therefore, -8 and -15It is known that multiplication of 2 negative nos. yields a positive number.... Show More
V
Verdie O'Kon

Feb 20, 2025

Many of these types of problems are trial and error.First, what two numbers add up to -23 that are fairly big numbers (since they have to make a large number: 120).After trial and error, I figured out it is -8 and -15.Hope that helps!... Show More
V
Verdie O'Kon

Feb 20, 2025

x + y = -23xy = 120x( -23 - x) = 120-23x - x^2 = 1200 = x^2 + 23x + 1200 = (x + 15)(x + 8)x = -15 or x = -8... Show More

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