Question

Find whether the following equations have real roots. If real roots exist, find them. iv. 1 2−3 + 1 −5 v. x2 + 5√5 x – 70 = 0

Answer 1

Step-by-step explanation:

v.

x2 +5

$\sqrt{5 }$ -70 =0

x2+7

$\sqrt{5}$

-2

$\sqrt{5}$

-70=0

x(x-7

$\sqrt{5}$

)-2

$\sqrt{5}$

(x+7

$\sqrt{5}$

)

(x-2

$\sqrt{5}$

)(x+7

$\sqrt{5}$

)=0

x-2

$\sqrt{5}$

=0 or x+ 7

$\sqrt{5}$

=0

• x=2

$\sqrt{5}$

or x=-7

$\sqrt{5}$