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1 year ago

Use the x-intercept method to find all real solutions of the equation.

Mathematics

1 answer:

Dima020 [189]1 year ago

4 0

Answer:

<h3>Step-by-step explanation:</h3>

<h3>1. Factor x³-6x² + 3x + 10 = 0</h3>

(x + 1)(x + 2)(x + 5)=0

<h3>2. Using the Zero Factor Principle : If ab=0 then a=0 or b=0</h3>

x + 1 = 0 or x - 2 = 0 or x - 5 = 0

Solve x + 1 = 0 : x = -1
Solve x - 2 = 0 : x = 2
Solve x - 5 = 0 : x = 5

<h3>The solutions are</h3>

x = -1 , x = 2 , x = 5

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The sum of two numbers is 75. The second number is<br> less than twice the first. Find the numbers.

Lera25 [3.4K]

Answer:

First number =26

Second number =49

Step-by-step explanation:

Question:

The sum of two numbers is 75. The second number is 3 less than twice the first. Find the numbers.

Given:

Sum of two numbers = 75

The second number is 3 less than twice the first.

To find the numbers.

Solution:

Let the first number be = $x$

Let second number be = $y$

The sum equation can be given as:

$x+y=75$

It is given that the second number is 3 less than twice the first.

This can be given as:

$y=2x-3$

Substituting the value of $y$ in terms of $x$ in the sum equation.

$x+(2x-3)=75$

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$3x-3=75$

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$3x-3+3=75+3$

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Dividing both ides by 3.

$\frac{3x}{3}=\frac{78}{3}$

$x=26$

Substitution $x=26$ in the second equation to find $y$ .

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Thus, first number =26 and second number =49.

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