SOLUTION: Find the values of k such that 4x^2+16x+k has the following solutions. a.exactly one real-number solution

Algebra.Com
Question 1179333: Find the values of k such that 4x^2+16x+k has the following solutions.
a.exactly one real-number solution

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
the values of such that has the following solutions.
a. exactly one real-number solution
it will be if discriminant
...in this case , , and



will be equal to zero if ->


and real solution is
.........factor


=> which is a point (,)
see the graph below:








RELATED QUESTIONS

Find the values of k such that 4x^2+16x+k has the following solution. a. two real number (answered by MathLover1)
Find the values of k such that 4x^2+16x+k has the following solutions. a. no real... (answered by MathLover1)
Find the value of K such that 2x^2-3x+k has each solution set. A. Two real number... (answered by jim_thompson5910)
Find the number k such that the given equation has exactly one real solution:... (answered by Earlsdon)
Solve x2 - 4x - k = 0. a) For what values of k the equation has only one solution? b)... (answered by Alan3354)
Find all values of K such that equation (2^x)-k(2^-x)=1 has exact one real solution (answered by ikleyn)
Find all values of K such that equation 2^x-k(2^-x)=1 has exact one real solution (answered by ikleyn)
Let K be a real number. Consider the following system of equations: x - y + 3z =... (answered by ikleyn)
Find the values of k such that x² + 6x + k = 0 will have exactly two solutions. x² + (answered by MathLover1)