Question

Find the value of k, if (√5,3)is a solution of √5x-7y=k​

Answer 1

Given -

$\sf \sqrt {5}x - 7y = k$

$\sf x = \sqrt{5} \\ y = 3$

To find -

The value of k

Solution -

→ $\sf \sqrt{5}( \sqrt{5}) - 7(3) = k$

→ $\sf \sqrt{25} - 21 = k$

→ $\sf 5 - 21 = k$

→ $\sf - 16 = k$

Procedure -

→ This Question is from the chapter polynomials.

→ In this we are given with an expression √5x - 7y = k And the values of x & y are given as √5 & 3.

→ Then we will put √5 in place of x and 3 in place of y and then we will multiply √5 with √5 and 3 with 7.

→ As you know that √5 × √5 = √25 = 5 and then 7 × 3 = 21. Then we will subract 5 from 21.

→ $\therefore$ The value of k is -16.

Verification -

→ $\sf \sqrt{({5})}^{2} - 21 = - 16$

→ $\sf 5 - 21 = - 16$

→ $\sf - 16 = - 16$

Hence, L.H.S = R.H.S

______________________________________

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

Find the value of k, if ( √5 , 3 ) is a solution of √5x - 7y = k.

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\boxed{\sf{Meaning \: of \: the \: question}}}}$

• Nice question ! Let's see the meaning of this question. The meaning of our question is given below ↓
• This question state that We have a expression √5x - 7y = k . The Answer of this expression's value x nd y is already given to us. The question say x = √5 and y = 3. The question say that we have to find the value of k.

$\large{\boxed{\boxed{\sf{How \: to \: do \: this \: question}}}}$

• We know that this question is from a nice chapter of mathematics that is Polynomials.
• We know what are Polynomials.
• As we know that √5x - 7y = k. nd the value of x = √5 and y = 3
• We know that we have to put √5 in the place of given x . Now putting 3 in the place of y.
• Now we have to multiply √5 by √5 nd 3 by 7.
• As we all know that, √5 × √5 = √25 = 5 . Now multiplying 3 by 7 = 21.
• Now we have to subtract 7 by 21
• 7 - 21 = -16
• Hence, the Answer is -16
• So, the value of k is -16.

$\large{\boxed{\boxed{\sf{More \: to \: know}}}}$

What are Polynomials ?

A polynomial is defined as an expression which is composed of variables, constants and exponents.

What are the types of Polynomial ?

The polynomial contains 3 types -

• Monomial
• Binomial
• Trinomial

What are Monomial ?

These are those algebraic expressions that contains only one term.

What are binomial ?

These are those algebraic expressions that contains two terms.

What are trinomial ?

These are those algebraic expressions that contains triple terms.

$\large{\boxed{\boxed{\sf{Given \: that}}}}$

• √5x - 7y = k
• x = √5
• y = 3

$\large{\boxed{\boxed{\sf{To \: find}}}}$

• Value of k

$\large{\boxed{\boxed{\sf{Solution}}}}$

• Value of k = -16

$\large{\boxed{\boxed{\sf{Full \: solution}}}}$

• √5(√5) - 7(3) = k
• √5 × √5 - 7 × 3 = k
• √25 - 21 = k
• 5 - 21 = k
• -16 = k
• k = -16

$\large{\boxed{\boxed{\sf{R \: u \: confused \: ?}}}}$

$\large{\boxed{\boxed{\sf{Don't \: worry}}}}$

$\large{\boxed{\boxed{\sf{Let's \: verified \: it}}}}$

$\large\mathfrak\green{Verification}$

• √(5)² - 21 = -16
• 5 - 21 = 16
• -16 = -16
• L.H.S = R.H.S

$\large\purple{\texttt{Hence, verified}}$

@Itzbeautyqueen23

Hope it's helpful

Thank you :)