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Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?

[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]

Respuesta :

Answer:

its d

Step-by-step explanation:

thank the guy up top

Using quadratic formula, the possible values of x lies in [0, 5.728].

What is a quadratic formula?

The quadratic formula is a formula that provides the solution to a quadratic equation.

[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]

The equation in the given question is-

[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]

But, x cannot be negative so x lies in [0, 5.728].

Learn more about quadratic formula here

https://brainly.com/question/2615966

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