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2 years ago

If using the method of completing the square to solve the quadratic equation

Mathematics

2 answers:

lara [203]2 years ago

6 0

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Katena32 [7]2 years ago

6 0

X2 cause it makes sense

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2 years ago

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1 year ago

Which of the following expressions is equal to 1 divided by 16

Ber [7]

The correct answer is: [A]: " ( $\frac{1}{2}$ )⁴ " .
_______________________________________________

Note: ( $\frac{1}{2}$ )⁴ = $\frac{1^{4} }{2^{4} }$ ;

= $\frac{1*1*1*1}{2*2*2*2}$ ;

= $\frac{1}{16}$ .
_______________________________________________________

Consider "Choice [B]" : "( $\frac{1}{2}$ )⁴ " ;

Note: ( $\frac{1}{4}$ )⁴ = $\frac{1^{4} }{4^{4} }$ ;

= $\frac{1*1*1*1}{4*4*4*4}$ ;

= $\frac{1}{256}$ .

Note that: " $\frac{1}{256}$ " $\neq$ " $\frac{1}{16}$ " .
__________________________________________________________

Consider "Choice [C]" : "( $\frac{1}{8}$ )² " ;

Note: ( $\frac{1}{8}$ )² = $\frac{1^{2} }{8^{2} }$ ;

= $\frac{1*1}{8*8}$ ;

= $\frac{1}{64}$ .

Note that: " $\frac{1}{64}$ " $\neq$ " $\frac{1}{16}$ " .
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→ As such, the only correct answer choice is:
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Answer choice: [A]: " ( $\frac{1}{2}$ )⁴ " .
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3 years ago

Which is a correct first step for solving this equation? 2x−1(5−3x)=4x+2

GuDViN [60]

Answer:

distribute

Step-by-step explanation:

so multiply -1 with 5 and -3

this turns it to 2x(-5+3x)=4x+2

then you multiply 2x to -5 and 3x

so on...

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3 years ago