SOLUTION: by completing the square,find in, terms of k, the roots of the equation x^2+2kx-7=0

SOLUTION: by completing the square,find in, terms of k, the roots of the equation x^2+2kx-7=0

Algebra.Com

Question 1000266: by completing the square,find in, terms of k, the roots of the equation
x^2+2kx-7=0
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
by completing the square,find in, terms of k, the roots of the equation
x^2 + 2kx - 7 = 0
x^2 + 2kx + ____ = 7
To complete the square, divide the coefficient of x by 2 and square it, add to both sides
x^2 + 2kx + k^2 = 7 + k^2
(x + k)^2 = 7 + k^2
Find the square root of both sides
x + k = +/-
x = -k +
and
x = -k -
RELATED QUESTIONS
find the range of values of k for which the equation x^2-2kx+k^2-2k=6 has real roots.... (answered by MathLover1)

Find one value of k for which the given equation has equal roots:... (answered by Alan3354,MathTherapy)

If both the roots of the equation {{{x^2-2kx+k^2-4=0}}} lie between -3 and 5 then k lies (answered by josgarithmetic)

Solve for k in the equation kx²-2kx+5=0, if the sum of the roots is 4. What is the... (answered by math_tutor2020,ikleyn)

Find the value(s) of k such that the quadratic (k+1)x^2+2kx+2k=3(kx-1) has roots whose... (answered by thesvw)

X^2-2kx-8k^2 Find in terms of k, the least value for c for which the equation f(x)=c has (answered by htmentor)

Find all values of k for which the equation x^2 + 2kx + (-3)k - (-4) = 0 has only... (answered by josgarithmetic)

find K so that one zero of the polynomial 2kx^2-20x+21 =0 exceeds the other by 2 (answered by josgarithmetic)

For what values of k will the equation x^2 + 2kx + 16 = 0 have exactly one solution? (answered by josgarithmetic)