Based on what you have learned about the solutions of quadratic equations, which

Marvin Mccormick

Marvin Mccormick

Answered question

2021-11-02

Based on what you have learned about the solutions of quadratic equations, which statement is true about the quadratic shown below?
x232x+200=44
A)The quadratic equation has no real solutions.
B) The quadratic equation has one real solution.
C) The graph of the quadratic function intersects the x-axis at one point.
D) The graph of the quadratic function intersects the x-axis at two points.

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-11-03Added 109 answers

Step 1
Since, we have been given up the quadratic equation mentioned below : –
x232x+200=44 - (i)
Step 2
Considering equation - (i), we have : -
x232x+200=44(i)
x232x+20044=0
x232x+156=0
x226x6x+156=0
x(x26)6(x26)=0
(x6)(x26)=0
Answer x=6 and x=26
Therefore, the graph of the quadratic function intersects the x- axis at two points.
Hence, option - (d) is correct.

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