emilylovespiano emilylovespiano
  • 17-11-2017
  • Mathematics
contestada

The quadratic equation ax^2+32x+c=0 has exactly one solution. If a+c=130, and a>c, find the ordered pair (a,c).

Respuesta :

SippingOnTea SippingOnTea
  • 17-11-2017
ie 32^2 - 4ac=0 so ac=256 and a+c=130 
So, that means:2 equations ac=256 a+c=130 ie c=130-a 
So,a(130-a)=256 so 130a -a^2=256 ie a^2-130a +256=0 (a-2)(a-128)=0 
Finally,giving a= 2 or a=128 so, a=2 c=128 or a=128 c=2 
Since, a>c , a=128 and c=2 ie (128,2)
Answer Link

Otras preguntas

what plus what equals -20
write the ratio in simplest form 24:4
Identify the helping verb in the sentence below. Wendell may go to the pet store. A may B go с to D store
244 people must be split into 4 equal groups. How many people in each group
Should the United States have gotten involved in the conflict in Vietnam?
Determine the linear function of the line that goes through the points (2; 6) and (6; 5). (1) = −6,50 + 0,50; (2) = 0,25 − 6,50; (3) = 6,50 − 0,25; (4) = −0
find x S T 43 (9x -14) U
[3 - (6 ÷ 3)3] x 11 + 11?
One angle on a parallelogram measures 155 what are the measures of the other angle
Suppose that a family wants to start a college fund for their child. if you invest in an account that pays 5.5% and want the fund to have a value of $53,000 aft