Question

33. 8x2 - 38x + 35.(factorisation)​

Answer 1

$\sf{ \underline{ \underline{Answer}}}$

$\rm{\ 8x^{2}-38x+35}$

$\rm{x\:=\:\frac{-b±\sqrt{ \ b^{2}-4ac}}{2a}}$

$\rm{x\:=\:\frac{-(-38)±\sqrt{ \ (-38)^{2}-4(8)(35)}}{2\times 8}}$

$\rm{x\:=\:\frac{+38±\sqrt{ 1444-1120}}{16}}$

$\rm{x\:=\:\frac{38±\sqrt{324}}{16}}$

$\rm{x\:=\:\frac{38± 18}{16}}$

There are 2 possible values

1. Positive

$\rm{x\:=\:\frac{38+18}{16}}$

$\rm{x\:=\:\frac{56}{16}}$

$\rm{x\:=\:\frac{\cancel{56}}{\cancel{16}}}$

$\rm{x\:=\:\frac{7}{2}}$

2. Negative

$\rm{x\:=\:\frac{38-18}{16}}$

$\rm{x\:=\:\frac{20}{16}}$

$\rm{x\:=\:\frac{\cancel{20}}{\cancel{16}}}$

$\rm{x\:=\:\frac{5}{4}}$

__________________________________

$\sf\boxed{x\:=\:\frac{7}{2}\: ,\: \frac{5}{4}}$