Respuesta :
Answer:
So the height is 12
Step-by-step explanation:
Let W be the width
Let W- 4 be the height
W2 +(W-4)2 = 400
So: W2 -4W-192 =0
One uses the quadratic solution:
W = (4 + (16 + 4*192).5)/2 = 16
Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, then the height will be 12 inches.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Let W be the width and W- 4 be the height
Then we have;
W^2 +(W-4)2 = 400
So:
W^2 -4W-192 =0
The quadratic solution will be
W = (4 + (16 + 4*192).5)/2
W = 16
The height = w - 4 = 16 - 4 = 12
Hence, Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, then the height will be 12 inches.
Learn more about quadratic equations;
brainly.com/question/13197897
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