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2 years ago

Find the solution set. 7x^2-5x-2=0

Mathematics

1 answer:

GenaCL600 [577]2 years ago

7 0

Answer:

−

√

−

, we get that

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0.6

Explanation:

Rearrange the equation so that it becomes:

−

The quadratic formula is:

−

√

−

In our equation above,

−

Plugging these values into the quadratic equation gives:

−

√

−

(

)

(

−

)

(

)

−

√

120

−

√

169

−

0.6

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What is 500 x 50, 000

kogti [31]

Answer is 25,000,000

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3 years ago

The angle measure of a triangle is shown in the diagram, what is Twh value of x?

seropon [69]

Answer:

$x = 28$

Step-by-step explanation:

$50 + (2x) + (3x - 10) = 180$

$180-50=130$

$(2x) + (3x - 10) = 130$

$5x - 10 = 130$

$5x = 130 + 10$

$5x = 140$

$\frac{5x}{5} = \frac{140}{5}$

$x= \frac{140}{5}$

$x = 28$

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3 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

3 years ago

Gustavo is the league's home run leader. The probabilities for his total number of home runs for the season are

Ber [7]

Answer: First (0-19 home runs) Second (40+ home runs) Thrid (20-39 home runs)

Step-by-step explanation:

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3 years ago

Read 2 more answers

The temperature last Monday was 32˚F at 8:00 am. During the next hour it dropped to 24˚F. What was the percent decrease?

jek_recluse [69]

Answer:

The percentage decrease in the temperature is 25%.

Step-by-step explanation:

The temperature last monday was =32°F

The dropped temperature during the next hour=24°F

The Percentage decrease in the temperature will be= $\frac{32^{{\circ}}-24^{{\circ}}}{32}{\times}100$

= $\frac{8}{32}{\times}100$

= $0.25{\times}100$

= $25%$

7 0

3 years ago