We can solve this by factoring as a perfect square trinomial, so
0 = ( x + 2 )2 → x = − 2 and − 2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation ( b 2 − 4 a c ) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have 2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
Answers & Comments
Answer:
Step-by-step explanation:
Consider the equation
0 = x 2 + 4 x + 4
We can solve this by factoring as a perfect square trinomial, so
0 = ( x + 2 )2 → x = − 2 and − 2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation ( b 2 − 4 a c ) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have 2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k 2 − ( 4 × 1 × 36 ) = 0
k 2 − 144 = 0
( k + 12 ) ( k − 12 ) = 0
k = ± 12
So, k can either be
12 or −12
.
Hopefully this helps!
pa brainliest ty
Answer:
k = 49x-1 + 4x
Step-by-step explanation:
Simplifying
4 x 2 + -1kx + 49 = 0
Reorder the terms:
49 + -1kx + 4x2 = 0
Solving
49 + -1kx + 4x2 = 0
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -1kx + -49 + 4x2 = 0 + -49
Reorder the terms:
49 + -49 + -1kx + 4x2 = 0 + -49
Combine like terms: 49 + -49 = 0
0 + -1kx + 4x2 = 0 + -49
-1kx + 4x2 = 0 + -49
Combine like terms: 0 + -49 = -49
-1kx + 4x2 = -49
Add '-4x2' to each side of the equation.
-1kx + 4x2 + -4x2 = -49 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-1kx + 0 = -49 + -4x2
-1kx = -49 + -4x2
Divide each side by '-1x'.
k = 49x-1 + 4x
Simplifying
k = 49x-1 + 4x
Mark the other person brainliest please :)