Question

factorize 4 root 5x^2-17x+3root 5 guys plz make it fast it is so urgent

Answer 1



1



anshuchauhan301000

26.01.2019

Math

Secondary School

+6 pts

Answered

Find the zeros of 4√5x^2-17x-3√5 and verify the relation between the zeros and coefficient of the polynomial.[ Remember that there's minus(-) sign before 3 root 5]

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Teddygrl 

 

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Hi mate

here is ur answer

4√5x^2 - 17x -3√5
4√5x^2 + 20x - 3x - 3√5
4√5x ( X+√5) -3 ( X+√5)
(X+√5) ( 4√5x - 3)

➡️X=(-√5)

➡️X=3/4√5

sum = -b/a= -(-17)/4√5 = 17/4√5

product= c/a= -3√5/4√5= (-3/4)

I hope this will help you

⚛️mark as brainliest ⚛️

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Answer 2

Answer:

The factors of the given quadratic expression are

$\boxed{\red{\sf\:(\:\sqrt{5}\:x\:-\:3\:)}}\:\:\:\sf\:\&\:\:\:\boxed{\red{\sf\:(\:4x\:-\:\sqrt{5}\:)}}$

Step-by-step-explanation:

The given quadratic expression is

$\sf\:4\:\sqrt{5}\:x^{2}\:-\:17x\:+\:3\:\sqrt{5}$

$\therefore\sf\:4\:\sqrt{5}\:x^{2}\:-\:17x\:+\:3\:\sqrt{5}\\\\\implies\sf\:4\:\sqrt{5}\:x^{2}\:-\:12x\:-\:5x\:+\:3\:\sqrt{5}\\\\\implies\sf\:4\:\sqrt{5}\:x^{2}\:-\:12x\:-\:\sqrt{5}\:\times\:\sqrt{5}\:\times\:x\:+\:3\:\times\:\sqrt{5}\:\:\:-\:-\:-\:[\:Expressing\:in\:terms\:of\:\sqrt{5}\:]\\\\\implies\sf\:4x\:(\:\sqrt{5}\:x\:-\:3\:)\:-\:\sqrt{5}\:(\:\sqrt{5}\:x\:-\:3\:)\\\\\implies\boxed{\red{\sf\:(\:\sqrt{5}\:x\:-\:3\:)}}\:\:\:\sf\:\&\:\:\:\boxed{\red{\sf\:(\:4x\:-\:\sqrt{5}\:)}}$

Additional Information:

1. Quadratic Equation :

An equation having a degree '2' is called quadratic equation.

The general form of quadratic equation is

ax² + bx + c = 0

Where, a, b, c are real numbers and a ≠ 0.

2. Roots of Quadratic Equation:

The roots means nothing but the value of the variable given in the equation.

3. Methods of solving quadratic equation:

There are mainly three methods to solve or find the roots of the quadratic equation.

A) Factorization method

B) Completing square method

C) Formula method

4. Solution of Quadratic Equation by Factorization:

1. Write the given equation in the form $\sf{ax^{2}\:+\:bx\:+\:c\:=\:0}$

2. Find the two linear factors of the $\sf\:LHS$ of the equation.

3. Equate each of those linear factor to zero.

4. Solve each equation obtained in 3 and write the roots of the given quadratic equation.