Question

Using factorisation find the roots of the quadratic equation 6z^2-5z-21=0

Answer 1

Answer:

6z2 - 5z - 21 = 0.  

6z2 - 14z + 9z - 21 = 0

2z(3z - 7) +3 (3z - 7)

(2z + 3) (3z - 7) = 0

(2z + 3) = 0 or (3z - 7) = 0

z = -3/2 or z = 7/3    

Answer 2

$\huge \mathfrak \red{answer}$

___________________________________

$\huge \sf \underline{Question}$

⟹ Using factorisation find the roots of the quadratic equation 6z^2-5z-21=0

___________________________________

step by step explanation:

$\tt \red{6 {z}^{2} - 5z - 21 = 0}$

$\tt \blue{⟹6 {z}^{2} - 14z + 9z - 21 = 0}$

$\tt \green{⟹ 2z(3z - 7) + 3(3z - 7)}$

$\tt \orange{⟹ \: (2z + 3)(3z - 7) = 0}$

$\sf \pink{⟹ \: (2z + 3) = 0}$

or

$\tt \pink{⟹ \: (3z - 7 )= 0}$

then

$\bf \huge\red{ z \: = \frac{ - 3}{2}}$

or

$\bf \huge \red{z = \frac{7}{3}}$

I hope it's help u