What is the nature of the roots of the quadratic equation 2x2 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.

How do we find the discriminant of a quadratic equation?

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

What is the discriminant of the quadratic equation 0 x2 4x 2?

The discriminant of the quadratic equation -x² + 4x - 2 = 0 is 8.

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.

How To Determine The Discriminant of a Quadratic Equation

Which of the following is the root of the equation 2x2 5x 3 0?

⇒ x = 3/2 and x = 1 are the solutions of the equation.

What is the discriminant of the quadratic equation 3 4x =- 6x 2?

Solution: The given quadratic equation is 3 - 4x = -6x². The standard quadratic equation is the form ax² + bx + c= 0. Therefore, the discriminant of the quadratic equation 3 - 4x = -6x² is - 56.

What is the value of discriminant for the quadratic equation x2 2x 3 0?

Answer. The value of discriminant is -16.

What is the discriminant of the quadratic equation 2x 5x2 1?

The discriminant of the quadratic equation 2x + 5x² = 1 is 24.

What is the discriminant in a quadratic function?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: - If b2 – 4ac > 0 then the quadratic function has two distinct real roots. - If b2 – 4ac = 0 then the quadratic function has one repeated real root.

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

Three solutions were found : x = 1.

What is the nature of roots of quadratic equation 2x2 − 3x − 4 0 *?

Answer: The roots are real and distinct.

What is the nature of roots of quadratic equation √ 3x2 2 √ 3x+ √ 3 0?

1 Answer. Roots of the equation are real and equal.

What is the value of discriminant for the quadratic equation x2 10x 7 0?

Answer : The value of discriminant is 128.

What is the nature of the roots of a quadratic equation x2 2x 3 0?

Hence the roots are imaginary or no real roots.

What is the discriminant of x2 2x 1 0?

Explanation: D = 4 - 4 = 0.

What are the solutions to the quadratic equation 0 3x2 4x 5?

Summary: In the simplest radical form, the solutions to the quadratic equation 0 = -3x² - 4x + 5 are x₁ = -(2 -√19)/3 or x₂ = -(2 +√19)/3.

What is a discriminant in algebra?

discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax² + bx + c = 0, the discriminant is b² − 4ac; for a cubic equation x³ + ax² + bx + c = 0, the discriminant is a²b² + 18abc − 4b³ − 4a³c − 27c².

Is 2x2 5 0 a quadratic equation?

2x2+5x=0 is a quadratic equation in the form ax2+bx+c , where a=2 , 5=b , and c=0 .

What are the roots of the equation 2x 2 5x 2 0?

The roots of the quadratic equation 2x² - √5x - 2 = 0 using the quadratic formula are (√5 + √21)/4 and (√5 - √21)/4.

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.