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Find the solution of quadratic equation 6x 2-13 23 using square roots.Find the solution of quadratic equation 5x 2 – 1 = 24 using square roots.Find the solution of quadratic equation x² + 1 = 1 using square roots.Find the solution of quadratic equation x 2 – 1 = 1 using square roots.Find the solutions of the equation x 2 = 81.
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Find the solutions of the equation x² = 9.Find the solutions of the equation x 2 = 16. In general, when we solve radical equations, we often look for real solutions to the equations.Find the solutions of the equation x² = 45.Find the solutions of the equation x 2 = 1.The length of the ladder =√365 ≈ 19.1 m Exercise X 2 = 13²+14², from the Pythagorean theorem.Īs the length of the ladder cannot be negative The solutions of the quadratic equation are x = +√25 and x = – 25 Real Life ExampleĪ ladder is leaned on a wall, the height on the wall is 13 m, the ladder is 14 m away from the wall, what is the length of the ladder? Step1: Given quadratic equation 3x 2+9 = 69.… (1) The solutions of the quadratic equation are x = +√10 and x = −√10įind the solution of quadratic equation 3x 2+9 = 69 using square roots. Step1: Given quadratic equation 3x 2−4 = 26 … (1) ( x + 5) 2 64 0 lesser x greater x Show Calculator Stuck Review related articles/videos or use a hint. The solutions of the quadratic equation are x = +5 and x = – 5įind the solution of quadratic equation 3x 2−4 = 26 using square roots. Enter the solutions from least to greatest. Step1: Given quadratic equation x 2– 1 = 24 … (1) The solutions of the quadratic equation are x = +4 and x = -4įind the solution of quadratic equation x 2– 1= 24 using square roots. Step1: Given quadratic equation 4x 2 +5 = 69 … (1) Take the square root on each side of the equation.įind the solution of quadratic equation 4x 2+5 = 69 using square roots. Produce two linear equations by equating the square root of the left side with the positive and negative square roots of the right side. How to solve an equation in the form of ax 2+b=c?įirst write the equation in the form of x 2=a, where a is a real number. Solve Quadratic Equations of the form □□ □+□=□ There is no real number that can be multiplied to get a negative number for which square root can be obtained. The solutions of the quadratic equation are x = +8 and x = -8.įind the solutions of the equation x² = -36. Let’s review how we used factoring to solve the quadratic equation x 2 9. We have already solved some quadratic equations by factoring. Step2: By seeing the equation we remember that 64 is square of 8. Solve Quadratic Equations of the Form ax2 k Using the Square Root Property. The solutions of the quadratic equation are x = +12 and x = -12.įind the solutions of the equation x² = 64. Step2: By seeing the equation we remember that 144 is square of 12. The solutions of the quadratic equation are x = +10 and x = -10.įind the solutions of the equation x 2 = 144. Step2: By seeing the equation we remember that 100 is the square of 10. The solutions of the quadratic equation are x = +11 and x = -11.įind the solutions of the equation x 2 = 100.