Question

plz give correct answer..... ​

Answer 1

✭$\sf \huge \mathtt\red{Answer \::-}$

$\large\sf \green{Q1) \: \: {x}^{2} - 5x \: - 36 = 0 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \implies\sf \purple{ {x}^{2} - 5x - 36 = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large\implies\sf \purple{ {x}^{2} + 4x \: + - 9x \: - 36 = 0 }\: \: \: \: \: \: \: \: \: \\ \large\implies \sf \purple{x \: (x + 4) \: - 9 \: (x + 4) = 0}\: \: \: \: \: \: \: \: \: \\ \large \implies \sf \purple {(x + 4) \: (x - 9) = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large\implies \sf \purple{x + 4 = 0 \: \: \: \red{or} \: \: \: \purple{x - 9 = 0}} \: \: \: \: \: \: \: \: \: \: \\ \large\implies \sf \purple{x = - 4 \: \: \: \red{or} \: \: \: \purple{x = 9}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf\large\orange{The \: roots \: of \: given \: quadratic \: equation \: are \: \green{ - 4}} \: \orange{and} \: \green{9}$

$\sf{}$

$\large\sf \green{Q2) \: \: {x}^{2} - 15x \: + \: 54 = 0 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \implies\sf \purple{ {x}^{2} - 15x + 54 = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large\implies\sf \purple{ {x}^{2} - 9x \: - 6x \: + 54 = 0 } \: \: \: \: \: \: \: \\ \large\implies \sf \purple{x \: (x - 9) \: - 6\: (x - 9) = 0} \: \: \: \\ \large \implies \sf \purple {(x - 9) \: (x - 6) = 0} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large\implies \sf \purple{x - 9 = 0 \: \: \: \red{or} \: \: \: \purple{x - 6 = 0}} \: \: \: \: \: \\ \large\implies \sf \purple{x = 9\: \: \: \red{or} \: \: \: \purple{x = 6}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \large\orange{The \: roots \: of \: given \: quadratic \: equation \: are \: \green{9}} \: \orange{and} \: \green{6}$

Answer 2

Answer:

1) 9,-4

2) 6,9

Step-by-step explanation:

1) x²-5x-36=0

x²- (9-4)x - 36 =0

x²- 9x + 4x - 36 = 0

x(x-9) + 4(x-9) =0

(x-9) (x+4) =0

x=9 or x= -4

the root of the given equation are 9 and -4

2) x²-15x + 54 = 0

x² - 6x - 9x + 54 = 0

x(x-6) - 9 (x-6) = 0

(x-6) (x-9) = 0

x-6 = 0

x = 6.

x-9 = 0

x= 9 .

the root of give equation are 6 and 9.