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3 years ago

14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

The equation:

−

is in the form:

with

−

The roots are given by the quadratic formula:

−

√

−

√

(

−

)

−

(

)

(

−

)

(

)

√

144

√

169

That is:

−

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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7

Lapatulllka [165]

The first equation is $y-2x+1=0$

$y=2x-1$ (Equation 1)

The second equation is $4x^{2}+3y^{2}-2xy=7$ (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

$4x^{2}+3(2x-1)^{2}-2x(2x-1)=7$

$4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7$

by simplifying the given equation,

$12x^{2}-10x-4=0$

$6x^{2}-5x-2=0$

Using discriminant formula,

$D=b^{2}-4ac$

$D=25-4 \times 6 \times -2 = 73$

Now the formula for solution 'x' of quadratic equation is given by:

$x=\frac{-b+\sqrt{D}}{2a} and x=\frac{-b-\sqrt{D}}{2a}$

$x=\frac{5+\sqrt{73}}{12} and x=\frac{5-\sqrt{73}}{12}$

Hence, these are the required solutions.

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3 years ago

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polet [3.4K]

Answer:

42m

Step-by-step explanation:

First we need to find the base, which is 6 and the height which is 7. Then, multiply 6 and 7 to get 42. Then add your units, which are meters. So, 42m is your answer. I hope this helps! :)

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2 years ago

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Consider the function f(x)=x3+15x2+74x+120. If f(x)=0 for x=−6, for what other values of x is the function equal to 0? List the

jasenka [17]

Answer:

other x values are -5,-4

Step-by-step explanation:

f(x)=0 for x=−6

Apply synthetic division to get the quotient . using that we find other two values of x

-6 1 15 74 120

0 -6 - 54 -120

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

1 9 20 0

the quotient is $x^2+9x+20=0$

now factor the left hand side, product is 20 and sum is 9

$x^2+9x+20=0\\(x+5)(x+4)=0\\x+5=0 , x=-5\\x+4=0, x=-4$

So other x values are -5,-4

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3 years ago

Which pair of functions are inverses of each other? A. f(x) = \sqrt[3]{{6x}}f(x)= 3 6x and g(x) = {\left( {\frac{x}{6}} \righ

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Answer:

the answer is B

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18​

14. Solve: 3x² + 5x – 12 = 0B. 4-3C. 8, - 18