Application: quadratic equations

Application: quadratic equations

Two integers are such that one is 5 less than half the other. Find the minimum value of the sum of their squares.

Problems Involving Quadratic Equations

If the roots of the equations ax^2+2bx+c and bx^2 -2root ax+b=0 are simultaneously real then prove that b^2=ac

f(x), with x-intercepts at x=7 and x =-2 and the y-intercept at y=5

The area of a square is 144 ft2.. What is the length of its side

g(x)=3x^2 - 2 +4x^2

that minus sign is confusing me at ax

Using the Pythagorean Theorem and a quadratic equation to find side lengths of a right triangle

For example -3x^2+5x+8 According to my teacher the first time should be positive. Why?

the quadratic equation 2x^2+6x+7=0 has roots a and b. find a quadratic equation, with integer coefficients, which has roots a^2-1 and b^2-1.

i need the answer for it how to solve

A police officer seals off the scene of an accident using a roll of yellow tape that is 300 feet long. What dimensions should be used to seal off the maximum rectangular area around the collision...

A rectangular pool is surrounded by a walk 3 meters wide. The pool is 5 meters longer than its width. If the total area of the pool and walk is 342 square meters more than the area of the pool, find...

Tom is buying a 42 inch plasma definition 1080p television which is on sale for 40% off. If the aspect ratio for the TV is 16:9 and the frame around the screen is 1 in wide, will it fit in the entertainment...

quadratic equations

The surface area, A cm2 , of a prism is given by the formula A = 12x2 + 12Lx. E = 98 cm A = 448 cm Formulae for L is: L =1/3(E - 24x) Substitute the values E and...

AT is a tangent to a circle, centre O. OT = X cm, AT = (X+5) cm and OA = ( X+8) cm. Point A is outside the circle at the end of the tangent. sHow that x^2-6x-39=0

what is the relationship between the factors of a quadratic expression, the roots of the related quadratic equation, and the x-intercepts of the graph of the related function Please...

How would i also complete the square for this?... and also how do imaginary numbers come into this??