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4 years ago

Solving radical equations

Mathematics

1 answer:

My name is Ann [436]4 years ago

3 0

Answer:

top: no solution
bottom: x = 7

Step-by-step explanation:

I find a graphing calculator very helpful to solving radical equations. It helps avoid extraneous solutions.

√(-14x +2) = x -3

-14x +2 = x² -6x +9 . . . . . square both sides

x² +8x +7 = 0 . . . . . . . . . .subtract the left side

Descartes' rule of signs tells you this has no positive real solutions. (There are no sign changes among the coefficients.) The value of the radical will be non-negative, so we must have x-3≥0, or x≥3. Since there are no positive real solutions to the quadratic, there are no values of x≥3 that will satisfy the equation. NO SOLUTION

<u>bottom</u>

4√(x -3) = 8 . . . . . given

√(x -3) = 2 . . . . . . divide by 4

x -3 = 4 . . . . . . . . . square both sides

x = 7 . . . . . . . . . . . add 3

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10.

yan [13]

Answer:

D. y = -5^x – 27

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to − x + 5 y = 14 .

y = − 5 x − 27 PERPENDICULAAR

...................................................................................................................................................

Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to − x + 5 y = 14 .

y = 1 /5 x − 1 PARALLEL

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3 years ago

Find the mean of the following set of data. Round your answer to two decimal places.

Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

At a local print shop, 18 copies can be made for $6. At this rate, how much would it

Ber [7]

Answer: to make 78 copies it cost 26 dollars.

Step-by-step explanation:

18 copies - 6 dollars

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Hence,

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2 years ago

Simplify. (x2+2x-4)+(2x-5x-3)

vladimir2022 [97]

Answer:

Step by Step Solution

More Icon

STEP

Simplify ——

Equation at the end of step

((((2•(x2))-5x)-——)+2x)-3

STEP

Equation at the end of step

(((2x2 - 5x) - ——) + 2x) - 3

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using x2 as the denominator :

2x2 - 5x (2x2 - 5x) • x2

2x2 - 5x = ———————— = ———————————————

1 x2

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

Pulling out like terms

4.1 Pull out like factors :

2x2 - 5x = x • (2x - 5)

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3

————————————————————— = —————————————

x2 x2

Equation at the end of step

(2x4 - 5x3 - 3)

(——————————————— + 2x) - 3

STEP

Rewriting the whole as an Equivalent Fraction :

5.1 Adding a whole to a fraction

Rewrite the whole as a fraction using x2 as the denominator :

2x 2x • x2

2x = —— = ———————

1 x2

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

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3 years ago