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oksian1 [2.3K]
2 years ago
8

X + 4 = x2? Assume x greater-than 0

Mathematics
1 answer:
inysia [295]2 years ago
6 0

Answer:

The  value comes out to be  

x=\frac{1}{2}+\frac{\sqrt{17}}{2}

Step-by-step explanation:

The quadratic equation is an equation containing a single variable of degree 2. Its general form is ax^{2} +bx + c=0.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²- 4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

The equation we are given is :x+4=x^{2} \\x^{2} -x-4=0\\

We know the formula as :

x=[-b±\sqrt{b^{2}-4ac}] ×\frac{1}{2a}

x=[-(-1)±\sqrt{(-1)^{2} -4(1)(-4)}]×\frac{1}{2(1)}

x=\frac{1}{2} ±\frac{\sqrt{17} }{2} }

Since x≥0

Other negative option is neglected

x=\frac{1}{2}+\frac{\sqrt{17}}{2}

Learn more about quadratic equations - brainly.com/question/1214333

#SPJ10

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define</u>

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<u />

<u>Step 2: Solve for </u><em><u>x</u></em>

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  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
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