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  1. Hace 5 días · Thus, the given quadratic equation has real and distinct roots Hence, the correct option is (d). Note: Instead of finding the discriminant of the given quadratic equation and then simplifying further to get the nature of roots we can also solve this by finding the roots of the given equation using the direct formula which also gives the same ...

  2. Hace 5 días · The discriminant determines the nature of the roots of a quadratic equation. The word 'nature' refers to the types of numbers the roots can be namely real, rational, irrational or imaginary. If the discriminant \[{b^2} - 4ac = 0\], then the roots are equal and real If the discriminant \[{b^2} - 4ac > 0\], then the roots are real

  3. This is what happens to all of the unsold apples from my family's orchard. “The works of the roots of the vines, of the trees, must be destroyed to keep up the price, and this is the saddest, bitterest thing of all. Carloads of oranges dumped on the ground. The people came for miles to take the fruit, but this could not be.

  4. Hace 5 días · In this explainer, we will look at one such group of plant hormones: auxins. Auxins are a group of hormones that have an incredibly wide range of functions in plants, including cell elongation and the promotion of apical dominance, which we will learn about further on in this explainer. These hormones are usually produced by the cells at the ...

  5. Hace 5 días · -Option A- to find one’s roots- this means to dig into a matter more deeply and find out its true cause or reason. Example- Rohit decided to find the roots of the accident. -Option B- to return to place of rest- is an incorrect answer because it is not the meaning of the phrase provided.

  6. Hace 4 días · The San Juan Mountains, situated in the southwestern portion of Colorado, are renowned for their stunning beauty and rich history. This mountain range is known for its unique geology, with several peaks composed of volcanic ash and rock formations. Notable peaks in the San Juan Mountains include Uncompahgre Peak, Mount Wilson, and El Diente ...

  7. Hace 5 días · Hint: First find the relation between roots and the coefficients. Now take the cube of the sum of the roots. Then expand the cube by the formula ${\left( {a + b} \right)^3} = {a^3} + {b^3} + 3ab\left( {a + b} \right)$. Then substitute the values from the sum of the roots and product of the roots which will make a quadratic equation.

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