22.6k views
4 votes
Use the discriminant to determine how many and what

kind of solutions the quadratic equation x2 - x = 1/4
has.

User Jinbo Wang
by
8.4k points

2 Answers

6 votes

Answer:

Explanation:

x²-x-1/4=0

or 4x²-4x-1=0

disc.=(-4)²-4(4)(-1)=16+16=32>0 ,not a perfect square.

Roots are real,different and irrational.

It has 2 roots or 2 solutions.

User Wegry
by
8.5k points
4 votes

Answer:

Explanation:

x² - x = 1/4


x^(2)-x -(1)/(4)=0\\\\a = 1 \\\\b = -1\\\\c = (-1)/(4)\\\\D = b^(2)-4ac\\\\ = (-1)^(2)-4*1*(-1)/(4)\\\\= 1 + 1\\= 2

D = 2 > 0

So, this equation has real roots

User Gub
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories