hohoho6
hohoho6 hohoho6
  • 03-06-2018
  • Mathematics
contestada

if the roots of the equations(given in the picture as question no. 3) are simultaneously real then prove that b2=ac

if the roots of the equationsgiven in the picture as question no 3 are simultaneously real then prove that b2ac class=

Respuesta :

caylus
caylus caylus
  • 03-06-2018
Hi,
1) ax²+2bx+c=0 have real roots then (2b)²-4ac>=0 ==> 4b²>=4ac ==> b²>=ac
2)  bx²-2√(ac)x+b=0 have real roots then 
(-2√(ac))²-4b²>=0==> 4ac>=4b²==> ac>=b²
So b²>=ac>=b²==> b²=ac

Answer Link

Otras preguntas

the formula for the area of a triangle is shown below. A=1/2 bh. which of the following is the solution for h in terms of A and b
What types of evidence do geologists usually study?
the wheels on Elliot's truck each have a circumference of 32 inches. determine the radius of each wheel to the nearest tenth
Which country was the first to ally with Germany in World War lI
Aaron and Kendall both want a hockey stick. Aaron has 60% of the money saved. Kendall has 45% of the money saved. How much more does Aaron have saved than Kenda
What system of inequalities is represented by the graph
Evaluate 2h(3)-4g(-1)
Answer all for points
A diameter of a circle had endpoints P(-10, -2) and Q(4,6) A. find the center of the circle B. find the radius. If your answer is not an integer, express it i
Why did the British fight the war of 1812?