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2 years ago

Need help on geometry, please.

Mathematics

1 answer:

densk [106]2 years ago

7 0

What is it explain it in detail thanks

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Use the completing the square method to find the roots of 2x^2+3x-15=13 include the steps, it would be greatly appreciated thank

Monica [59]

Answer:

The roots are

$x1= \frac{-3+\sqrt{233}}{4}$

$x2= \frac{-3-\sqrt{233}}{4}$

Step-by-step explanation:

we have

$2x^{2}+3x-15=13$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$2x^{2}+3x=13+15$

$2x^{2}+3x=28$

Factor the leading coefficient

$2(x^{2}+(3/2)x)=28$

Complete the square. Remember to balance the equation by adding the same constants to each side

$2(x^{2}+(3/2)x+(9/16))=28+(9/8)$

$2(x^{2}+(3/2)x+(9/16))=233/8$

$(x^{2}+(3/2)x+(9/16))=233/16$

Rewrite as perfect squares

$(x+(3/4))^{2}=233/16$

square root both sides

$(x+\frac{3}{4})=(+/-)\sqrt{\frac{233}{16}}\\ \\(x+\frac{3}{4})=(+/-)\frac{\sqrt{233}}{4}\\ \\x= -\frac{3}{4}(+/-)\frac{\sqrt{233}}{4}$

$x1= -\frac{3}{4}(+)\frac{\sqrt{233}}{4}=\frac{-3+\sqrt{233}}{4}$

$x2= -\frac{3}{4}(-)\frac{\sqrt{233}}{4}=\frac{-3-\sqrt{233}}{4}$

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3 years ago

Complete the factored form of the algebraic expression <br> 18a + 3 = 3 ( + )

Pavel [41]

Answer: 0

Step-by-step explanation: 18a + 3 = 3

-3 -3

--------------

18a = 0 you can't divide 18 and zero it would be 0

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3 years ago

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weqwewe [10]

Answer:

-113

Step-by-step explanation:

2a^4+5b^3 --> 2(4)^4+5(-5)^3= -113

not 100% on this since its hard to understand the original equation (I'm assuming that the numbers after the variables are exponents)

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3 years ago

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Genrish500 [490]

Answer: The answer will be C

Step-by-step explanation:

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3 years ago