B Getting to the Answer: Set the equation equal to zere, then divide through by 3 on both sides to remove the -coefficient: 3x^2+9x-54=0 x^2+3x-18=0 (x-3)(x+6)=0 x=30r-6 The question asks for the sum of the roots, which is 3t(t)=3. The correct answer is (B)....
The roots of this equation are −8 and 8 and product is −8×8=(A) −64. Square both sides, to get 5|x|+8=x2−16. Rearrange to get x2−5|x|−24=0. Seeing that x2=|x|2, substitute to get |x|2−5|x|−24=0. We see that this is a quadratic in |x...
Quadratic Equation: An equation of the form {eq}ax^2 + bx + c = 0, {/eq} where {eq}a \neq 0 {/eq} is called the quadratic equation. {eq}a, b, c {/eq} are called the coefficients of the quadratic equation. The roots of the quadratic equation are given by the formula ...
Find k, if the roots of the quadratic equationkx2−4x+4=0are equal View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP...
To find the equation whose roots are α5 and β5, where α and β are the roots of the equation x2+x−1=0, we can follow these steps: Step 1: Find the roots α and βThe roots of the equation x2+x−1=0 can be found using the quadratic formula:x=−b±√b2−4ac2aHer...
Introduction (cont’d) So solve t 1km from Can u solve the above equation for t 1km ? Of course, the equation is nonlinear and t 1km is an implicit variable !! Introduction (cont’d) If we are solving a simple nonlinear equation, it’s piece of cake. But what about these Yes, ...
Some roots store food as carbohydrates. Carrots are roots that store large amounts of sugar. 1 Shoots Shoots grow towards light sources. The plant's shoots bent towards the window to access more light. 1 Roots The usually underground portion of a plant that lacks buds, leaves, or nodes and...
What are the solutions of the quadratic equation (x + 3)^2 = 49? Quadratic Equations: Whenever we are given a quadratic equation, we can expect to find two zeros or roots which are basically values, which when substituted to the independent variable will result to zero. Whenever...
One can use this equation to solve for in terms of as for a certain real analytic function whose asymptotics are easily computable (for instance one has the asymptotic ). One can then view the problem as one of trying to control the number of lattice points on the graph . Here we can...
This is the only "natural" equation expected to be represented in the human brain. Third, functional imaging studies show that kinship-related cognition activates frontal-parietal regions that are also activated in STEM-related tasks. In turn, the decision-making that integrates kinship levels w...