What is the discriminant of x^2=4?Please show steps on how you got that answer.

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embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

Given a quadratic equation in standard form `ax^2+bx+c=0` , the discriminant is `b^2-4ac` .

Rewriting `x^2=4` in standard form we get:

`x^2-4=0` where a=1,b=0,c=-4


The discriminant is `0^2-4(1)(-4)` or 16


atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

`x^2=4`   to find the discriminant use the formula `b^2-4ac`

the first thing is to take away `4`



`a=1 `  b would be 0 as there is no b value    `c=-4`     plug in these numbers

`0^2-4(1)(-4)`  simplify it

0+16  set it up as an equation

`0+16=16 `  so the discriminant is 16 and the problem has 2 real solutions

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