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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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Find the smallest number by which 35280 must be multiplied so that the product is a perfect square.
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5 is the <em>smallest</em> number by which 35280 must be multiplied so that the product will be a <em>perfect</em> square.

<h3>What number must be an integer multiplied by to find a perfect square? </h3>

A number is a <em>perfect</em> square if the following property is satisfied:

a = b², where is a <em>natural</em> number.

Please notice that b can be either a <em>prime</em> number or a product of <em>prime</em> numbers.

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Then, we must add a 5 to find a product that is a perfect square:

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