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vovikov84 [41]
3 years ago
8

Solve for x in the equation x^2 + 20x + 100 = 36

Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0

Answer:

x = -4 or x = -16

Step-by-step explanation:

We have to solve equation x^2 + 20x + 100 = 36 and find the value of x

x² + 20x + 100 = 36

x² + 20x + 100 - 36 = 36 - 36

x² + 20x + 64 = 0

(x + 4 ) ( x + 16 ) = 0

x + 4 = 0 or x + 16 = 0

x = -4 or x = -16

Answer would be x = -4 or x = -16

Lelu [443]3 years ago
4 0
The answers are x=(-4), or x=(-16)



Comment the correct answer. 
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3 years ago
What are the zeros of the polynomial function? <br><br> F(x)= x^2 + 12x +20
vampirchik [111]

Answer:

<h2>x = -2 and x = -10</h2>

Step-by-step explanation:

F(x)=x^2+12x+20\\\\\text{The zeros:}\\\\F(x)=0\iff x^2+12x+20=0\\\\x^2+2x+10x+20=0\\\\x(x+2)+10(x+2)=0\\\\(x+2)(x+10)=0\iff x+2=0\ \vee\ x+10=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x+10=0\qquad\text{subtract 10 from both sides}\\\boxed{x=-10}

3 0
3 years ago
X-y=5 and x^2y=5x+6​
sergeinik [125]

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

8 0
1 year ago
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