Question

z+√z=6/25 find the value of z

Answer 1

HeÿA MäTè ❤❤


u² + u = 6/25
u² + u + 1/4 = (25+24)/100 = 49/100
(u+1/2)² = 49/100
u + 1/2 = ±7/10
u = (-5±7)/10 = -12/10, 2/10
√z = -12/10, 2/10
z = 144/100, 4/100
z = 36/25, 1/25
z = 1/25

HöPe ïT hèLps u ☺

Answer 2

Answer:

The value of z is 1/25.

Step-by-step explanation:

• In context to the given question , we have to find the value of 'z'

GIVEN:

z+√z=6/25

TO FIND:

z= ?

SOLUTION;

z+√z=6/25

Let √z = m , then z= m²

new equation ;

m² + m = 6/25

now by adding 1/4 on both the sides we get

m²+m+1/4 = 6/25 + 1/4

(m + 1/2)² = (24+25)/100

(m + 1/2)² = 49/100

BY square rooting on both side , we get:

m + 1/2= ± 7/10

By transposing method , we get

m = 7/10 - 1/2                                            m = -7/10 -1/2

m = (7-5)/10                                              m = (-7-5)/10

m = 2/10 =1/5                                           m = -12/10 = -6/5

As we know m² = z

m² = 1/25 =z                                             m = -36/25=z

As negative value doesn't satisfy the equation

z = 1/25

Therefore, the value of z is 1/25.