The nature of the roots of the quadratic equation x2 - 4x + 12 = 0 is, A) Real and distinct numbers B) Real and equal numbers C) Not real numbers D) Integers.
Answers
Step-by-step explanation:
more than three hundred thousand years old) were formed by tectonic activity related to movement of Earth's crust.Most lakes and ponds form as a result of glacial processes. As a glacier retreats, it may leave behind an uneven surface containing hollows that fill with water. ... Some of the oldest lakes and ponds (more than three hundred thousand years old) were formed by tectonic activity related to movement of Earth's crust.Most lakes and ponds form as a result of glacial processes. As a glacier retreats, it may leave behind an uneven surface containing hollows that fill with water. ... Some of the oldest lakes and ponds (more than three hundred thousand years old) were formed by tectonic activity related to movement of Earth's crust.Most lakes and ponds form as a result of glacial processes. As a glacier retreats, it may leave behind an uneven surface containing hollows that fill with water. ... Some of the oldest lakes and ponds (more than three hundred thousand years old) were formed by tectonic activity related to movement of Earth's crust.Most lakes and ponds form as a result of glacial processes. As a glacier retreats, it may leave behind an uneven surface containing hollows that fill with water. ... Some of the oldest lakes and ponds (more than three hundred thousand years old) were formed by tectonic activity related to movement of Earth's crust.Most lakes and ponds form as a result of glacial processes. As a glacier retreats, it may leave behind an uneven surface containing hollows that fill with water. ... Some of the oldest lakes and ponds (which the site as well as the site museum were set up for tourists.Lothal is famous for the discovery of several ruins of Indus Valley Civilization. Lothal is located between the Sabarmati river and its tributary Bhogavo, in the Saurasthra region. ... Excavation was carried out at Lothal between 1955 and 1962, after which the site as well as the site museum were set up for tourists.Most lakes and ponds form as a result of glacial processes.
Step-by-step explanation:
The number of roots of a polynomial equation is equal to its degree. Hence, a quadratic equation has 2 roots. Let α and β be the roots of the general form of the quadratic equation :ax2 + bx + c = 0. We can write:
α = (-b-√b2-4ac)/2a and β = (-b+√b2-4ac)/2a
Here a, b, and c are real and rational. Hence, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression (b2 – 4ac) under the square root sign. We say this because the root of a negative number can’t be any real number. Say x2 = -1 is a quadratic equation. There is no real number whose square is negative. Therefore for this equation, there are no real number solutions.
Nature of Roots