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meriva
3 years ago
11

Solve 9x2 + 12x + 4 = 0. By using the quadratic formula

Mathematics
2 answers:
charle [14.2K]3 years ago
5 0
Discriminant= b^{2}-4.a.c \\ \\  We\:need\:to:-b+ \sqrt{discriminant} /2a \\   \\  9x^{2} +12x+4=0  \\ => 12^{2} -4.9.4 \\ 144-144=0 \\  \sqrt{0} =0 \\  \\ -12+ 0/18= \frac{-12}{18} = \frac{-2}{3}   \\  \\ That`s\: enough=>x= \frac{-2}{3}  \\  \\ \framebox[1.1\width]{Good Luck!} \par
disa [49]3 years ago
4 0
So 9x^2+12x+4=0

so the quadratic formulat is (-b+/-(squrt(b^2-4ac)))/(2a)=x
subsitute
ax^2+bx+c=

9=a
12=b
4=c

(-12+/-(squrt(12^2-4(9)(4))))/(2(9))=x
(-12+/-(squrt(144^2-144)))/18)=x

(-12+/-0)/18)=x
-12/18=x
-2/3=x
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△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wha
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Answer:

The answer to your question is   b = 11.31 cm  or   8\sqrt{2} cm

Step-by-step explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

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Process

1.- Use the Pythagorean Theorem to solve this problem

                 c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

                        18² = 14² + b²

-Solve for b

                         b² = 18² - 14²

-Simplify

                         b² = 324 - 196

                         b² = 128

-Find the prime factors of 128

                          128   2

                            64  2

                             32  2

                             16  2

                              8  2

                              4  2

                              2  2

                               1

          128 = 2⁶2¹                                    

-Result

                         b = 11.31   or   8\sqrt{2}

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