Question

Value of ‘p’ if the expression

a) 6
b) 5
c) 7
d) 4​

Answer 1

Answer :-

Value of p = 7 (Option C).

Explanation :-

Given Expression : z² + 3z – p = 3.

To Find : Value of p.

Solution :

We have to find the value of p.

We are given with the value of z.

So, Substitute the Values.

➙ z² + 3z – p = 3.

➙ (2)² + 3(2) – p = 3.

➙ 4 + 6 – p = 3.

➙ 10 – p = 3.

➙ –p = 3 – 10.

➙ –p = –7.

➙ p = 7.

Verification :

➙ z² + 3z – p = 3.

➙ (2)² + 3(2) – 7 = 3.

➙ 4 + 6 – 7 = 3.

➙ 10 – 7 = 3.

➙ 3 = 3.

LHS = RHS.

Hence, Verified.

Answer 2

$\large{\boxed{\boxed{\sf Let's \: Understand \: Question \: F1^{st}}}}$

Here, we have given an eq. (z² +3z -p = 3) in which the value of z is also given and we have to find the value of 'p'.

$\large{\boxed{\boxed{\sf How \: To \: Do \: It?}}}$

Here, we simply put the given value of z (z = 2) in the eq. (z² + 3z - p = 3) thus solving the eq. we will get the value of p which is our required answer.

Let's Do It ⚡

$\huge{\underline{\boxed{\sf AnSwer}}}$

____________________________

Given:-

• Equation = z² + 3z - p = 3
• z = 2

Find:-

• Value of 'p'

Solution:-

we, have

✒ z² + 3z - p

⟾ (2)² + 3(2) - p = 3 『°.° z = 2』

⟾ 4 + 6 - p = 3

⟾ 10 - p = 3

⟾ 10 - 3 - p = 0

⟾ 7 - p = 0

⟾ 7 = p

⟾ p = 7

$\large{\underline{\boxed{\therefore \textsf{Value of 'p' is 7}}}}$

Hence,

Option (c) 7 is correct.✓

_____________________________

✠ Verification ✠

➨ z² + 3z - p = 3

➨ (2)² + 3(2) - 7 = 3

➨ 4 + 6 - 7 = 3

➨ 10 - 7 = 3

➨ 3 = 3

❍ L.H.S = R.H.S ❍

Hence, Verified