What are the roots of 2x 2 3x 5?

2x² - 3x - 5 = 0, find the roots of the quadratic equations by using the quadratic formula. We have to find the roots of the equation. Therefore, the roots of the equation are 5/2 and -1.

What is a factor of 2x 2 3x 5?

Now for the polynomial p(x) = 2x² - 3x - 5 when we substitute x = -1 in the polynomial then p(-1) = 0. Hence, (x + 1) is the factor of the polynomial p(x). If we substitute x = - 2 in the polynomial then p(-2) = -3. Hence, (x + 2) is not the factor of the polynomial p(x).

What is the discriminant of 2x 2 3x 5?

Summary: The discriminant of the quadratic equation 2x² + 3x - 5 = 0 is 49.

Which of the following has no real roots 2x2 3x 5 0?

(i) 2x² – 3x + 5 = 0

Hence, no real root is possible for the given equation, 2x² – 3x + 5 = 0.

What is the equation whose roots are the reciprocal of the roots of 2x 2 3x 5 0?

The equation whose roots are the reciprocal of the roots is 5x^2 + 3x – 2 = 0.

find nature of roots 2x2-3x+5=0; 3x2-4root3x+4=0; 2x2-6x+3=0

How do you solve reciprocal roots?

What is nature of roots in this equation 2x 2 3x 5 0 *?

Therefore the equation has no real roots.

How do you find the roots?

For a quadratic equation ax² + bx + c = 0, The roots are calculated using the formula, x = (-b ± √ (b² - 4ac) )/2a. Discriminant is, D = b² - 4ac.

What is the nature of the roots of a quadratic equation if 2x 2 3x 5 0?

Summary: The nature of the roots of the following quadratic equations are such that i) 2x² - 3x + 5 = 0 has no real roots, ii) 3x² - 4√3x + 4 = 0 has two equal rooots 2/√3, 2/√3 and iii) 2x² - 6x + 3 = 0 has two distinct real roots (3 + √3)/2, (3 - √3)/2 respectively.

Which of the following describes the discriminant of the equation x2 3x 5 0?

1 Answer. George C. Its discriminant Δ is 29 , which means that x2−3x−5=0 has two distinct real solutions. Since 29 is not a perfect square, those solutions are irrational.

What are the roots of the equation 2x 2 6x 3 0?

Two solutions were found : x =(6-√60)/4=(3-√ 15 )/2= -0.436.

Which of the following is the value of the discriminant for √ 2x2 5x+ √ 2 0?

Answer. the value of discriminant is 17.

What are the roots in math?

The root of a number x is another number, which when multiplied by itself a given number of times, equals x. For example the second root of 9 is 3, because 3x3 = 9. The second root is usually called the square root. The third root is susually called the cube root.

Why do we find roots of equations?

This is because: it was discovered that equations we are interested in solving can be transformed into equivalent equations where one side is zero. So if we can solve that case, then we can solve other cases, too!

What is the nature of the roots of the quadratic equation 2x 2 − 3x − 4 0?

Answer: The roots are real and distinct.

How many real roots exist for the equation x3 x2 3x 5 0?

Three solutions were found : x = 1.

What are the nature of roots of 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 is the reciprocal calculator?

The reciprocal calculator is a math tool that finds the reciprocal of different types of numbers. It can find the reciprocal of: Number. Decimal.

What is the quadratic equation with roots 3 and 4?

x2−x−12=0.

What is the example of reciprocal equation?

Reciprocal means an inverse of a number or value. If x is any real number, then the reciprocal of this number will be 1/x. For example, the reciprocal of 8 is 1 divided by 8, i.e. 1/8.