What does B squared minus 4ac mean?
The quantity b2−4ac is called the discriminant of the polynomial. If b2−4ac < 0 the equation has no real number solutions, but it does have complex solutions. If b2−4ac = 0 the equation has a repeated real number root. If b2−4ac > 0 the equation has two distinct real number roots.
Which of the following is the nature of the roots of the quadratic equation if the value of its discriminant is negative?
Answer: The nature of roots simply means the category in which the roots are falling upon. The roots may be imaginary, real, unequal or equal. If the discriminate is negative, the roots will be imaginary.
Which of the following is the nature of the roots of the quadratic equation if the value of its discriminant is positive and a perfect square?
If the discriminant is positive but not a perfect square, then the solutions to the equation are real but irrational.
What to do when B 2 4ac is negative?
when b2 − 4ac is positive, we get two Real solutions. when it is zero we get just ONE real solution (both answers are the same) when it is negative we get a pair of Complex solutions.
How do Discriminants work?
The discriminant is the term underneath the square root in the quadratic formula and tells us the number of solutions to a quadratic equation. If the discriminant is positive, we know that we have 2 solutions. If it is negative, there are no solutions and if the discriminant is equal to zero, we have one solution.
How do you find the nature of the roots of a quadratic equation?
To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 – 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.
What is the nature of the roots of the quadratic equation when b2 4ac is negative?
So, if b2 – 4ac is a negative value, the quadratic equation is going to have complex conjugate roots (containing “i “s). b2 – 4ac is called the discriminant. and the roots of the quadratic equation will be complex conjugates.
How do you find the nature of a quadratic equation?
What is the nature of roots in a quadratic equation?
We can see, the discriminant of the given quadratic equation is positive but not a perfect square. Hence, the roots of a quadratic equation are real, unequal and irrational.
What’s the difference between 4a and 4ab hair?
Type 4 – Coily / Kinky Hair – Very tightly curled and wiry. Type 4 is usually broken up into 4a and 4b types. 4a hair has a looser coil and strands have a spiral shape. 4b hair has a tighter kink. Strands have a zig-zag shape like the letter “z” and is the most fragile and driest of the types.
What kind of hair care is best for 4B hair?
Having a dry scalp can cause large amounts of dandruff and an embarrassing amount of breakage. It is important to try multiple natural hair care products to see which one best suits the hair type. Cantu may work well for one 4B hair type, but Shea Moisture may work better for another 4B hair type.
What does a Type 4 hair look like?
Strands have a zig-zag shape like the letter “z” and is the most fragile and driest of the types. If you have Type 4 hair (Coily / Kinky) and believe that you can’t wear natural hair styles, read this. To read posts on this site about natural hair products (reviews), read Natural Hair Products for Ethnic Tresses.
Is it OK to wash and go with 4A’s hair?
This question stems from 4A’s closeness to 3C hair, which is a person of mixed culture’s hair. These curls are usually very tight and bouncy. Wash and go’s are generally a good option for people that have this hair type.