Question

solve :15 y square - 43 y +8​

Answer 1

Answer:

$\red{\boxed{\sf →Answer←}}$

15y²-43y+8

$\blue{\boxed{\sf →Quadratic\:Formula←}}$

$\huge{\boxed{\sf y = \frac{ - b± \sqrt{D} }{2a}</p><p> }}$

Here we need to find D(Discriminant)

D=b²-4ac

Here

$\green{\boxed{\sf a=15,b=-43,c=8}}$

put the values

D=(-43)²-4×15×8

D=1849-480

D=1369

Now use Quadratic Formula

$y = \frac{ - ( - 43)± \sqrt{1369} }{2 \times 15}$

$y = \frac{43±37}{30}$

Now first take (+)sign then(-) sign

$y = \frac{80}{30} = \frac{8}{3}$

$y = \frac{6}{30} = \frac{1}{5}$

Hence roots are :

$\huge\orange{\boxed{\sf \frac{8}{3} , \frac{1}{5} }}$