Question

Find the value of descriminant. 2y²-5y + 10 = 0

plss answer step by step​

Answer 1

Answer:

Analysis→

Here we're given a quadratic equation (2y²-5y+10=0),and we've to find the Discriminant(D) of the equation. And we know that D=b²-4ac.

Where

$\mapsto$ D=Discriminant.

$\mapsto$ b=Coefficient of x.

$\mapsto$ a=Coefficient of x².

$\mapsto$ c=Constant term.

Given→

• Equation=2y²-5y+10.
• b=-5
• a=2
• c=10

To Find→

Discriminant(D) of the equation.

Answer→

$\large{\underline{\boxed{\rm{\leadsto{Discriminant(D)=b^2-4ac}}}}}$

$\rm\rightarrow{D=b^2-4ac}$

$\rm\rightarrow{D=(-5)^2-4(2)(10)}$

$\rm\rightarrow{D=25-4(20)}$

$\rm\rightarrow{D=25-80}$

$\rm\rightarrow{D=-55}$

${\boxed{\boxed{\rm{\rightarrow{D=-55✔}}}}}$

☞ Hence the Discriminant(D) of the equation is -55 which is the required answer.

HOPE IT HELPS.