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3 years ago

60 points Math Question 2 of 10 Select the two values of x that are roots of this equation.

Mathematics

2 answers:

Vaselesa [24]3 years ago

8 0

☁️Answer☁️

The answers are -1+ square root of 7 and -1- square root of 7. In other words the answers are options B and D.

Hope this helps ;)

Pie3 years ago

3 0

Answer:

B and D

Step-by-step explanation:

<u>Solve the equation by completing a square:</u>

x² + 2x - 6 = 0
x² + 2x + 1 - 7 = 0
(x + 1)² = 7
x + 1 = ±√7
x = -1 ± √7

<u>Correct choice:</u>

B and D

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If y-3x=9, 7x+y=25, what is the value of x and y?

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$\bold{\rm{Given}}\text{ : If y - 3x = 9, 7x + y = 25, what is the value of x and y}?$

$\bold{\rm{Solution}} \text{: We'll solve this by substitution method}$

$\dashrightarrow y - 3x = 9 \\ \\ \dashrightarrow \boxed{y = 9 + 3x } \qquad .. \sf eq(1)$

$\text{we got the value of y now getting the value of x}$

$\looparrowright 7x + y = 25 \\ \\ \looparrowright 7x = 25 - y \\ \\ \looparrowright \boxed{x = \frac{25 - y}{7}} \qquad .. \sf eq(2)$

$\text{Now, putting y = 9 + 3x in eq(2)}$

$\hookrightarrow x = \frac{25 - y}{7} \\ \\ \hookrightarrow x = \frac{25 - 9 + 3x}{7} \\ \\ \hookrightarrow 7x = 25 - 9 + 3x \\ \\ \hookrightarrow 7x - 3x = 16 \\ \\ \hookrightarrow 4x = 16 \\ \\ \hookrightarrow x = \frac{16}{4} \\ \\ \star \quad \boxed{ \green{ \frak{ x = 4}}}$