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3 years ago

Describe the nature of the roots for this equation. 3x^2+x-5= 0

Mathematics

2 answers:

Colt1911 [192]3 years ago

7 0

Answer:

two real,irrational roots.

GOOD LUCK!

Step-by-step explanation:

m_a_m_a [10]3 years ago

4 0

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

$3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}$

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nevsk [136]

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3 years ago

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luda_lava [24]

Answer:

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Step-by-step explanation:

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3 years ago

Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive

Bond [772]

<h2><u>Solution (1)</u> :</h2>

Given, to find A we have to :

square m
Add y to m²
Subtract 7 from m² + y

From the question, the following equation can be formed :

$=\tt A = {m}^{2} + y - 7$

Therefore, the formula for finding A = m² + y - 7

<h2><u>Solution (2)</u> :</h2>

The value of A we can derive from the formula is :

$=\tt A = {m}^{2} + y - 7$

Value of m = 3 (given)

Which means :

$=\tt A = {3}^{2} + y - 7$

$=\tt \: A = 9 + y - 7$

$=\tt A = 9 - 7 + y$

$\color{plum} =\tt A = 2 + y$

Thus, the value of A = 2+y

Therefore, the value of A = <u>2+y</u>

7 0

3 years ago

According to the rational root theorem, what are all the potential rational roots of f(x)=5x^3-7x+11

Genrish500 [490]

Answer:

$\pm11,\pm1,\pm\frac{11}{5},\pm\frac{1}{5}$

Step-by-step explanation:

The given polynomial function is

$f(x)=5x^3-7x+11$

According to the Rational Roots Theorem, the ratio of all factors of the constant term expressed over the factors of the leading coefficient.

The potential rational roots are

$\pm\frac{11}{1}=\pm11$