Question

Extract the (2s-1)²=225

Answer 1

Hi friend !!

(2s-1)²=225

(2s-1)=√225

But we know that 15²=225
                              
                            15=√225

(2s-1)=15

2s=15+1

2s=16

s=8.

Answer 2

After evaluating the (2s-1)²=225 we get x =8 or -7

Step-by-step explanation:

Given : $(2s-1)^{2} = 225$

To find: Have to evaluate the given factor

Formula used: $(a+b)^{2} = a^{2} + b^{2} +2ab$

Solution,

we know that,

$(a+b)^{2} = a^{2} + b^{2} +2ab$

In this case, a = 2s and b = -1

Therefore,

$(2s-1)^{2} = 4s^{2} - 4s+1 =225$

Now subtract 225 from both sides

$4s^{2} - 4s+1-225 =225-225$

$4s^{2} - 4s-224 =0$

Divide by 4 in the above equation

$s^{2} - s-56 =0$

You can factorize the above equation

$(x+7)(x-8)$

Set the above factor equal to zero

x+7 =0

x = -7

x-8 = 0

x = 8

Final answer:

After evaluating the (2s-1)²=225 we get x =8 or -7

#SPJ2