To find the roots of the quadratic equation
2x2−3x−5=0,we can utilize the quadratic formula, which is given by
x=2a−b±b2−4ac.In this formula, the coefficients are defined as follows: a=2, b=−3, and c=−5. By substituting these values into the quadratic formula, we proceed as follows:
x=2(2)−(−3)±(−3)2−4(2)(−5).This simplifies to:
x=43±9+40.Continuing with the simplification, we have:
x=43±49.Since the square root of 49 is 7, we can further simplify to:
x=43+7orx=43−7.Calculating these two expressions yields:
x=410=25andx=4−4=−1.Thus, the roots of the quadratic equation
2x2−3x−5=0are
x=25andx=−1.To verify our solutions, we can substitute these values back into the original equation to ensure they satisfy it.
 100% |  Global |  97% | |
|---|---|---|---|
Professional Tutors | International Tuition | Independent School Entrance Success | |
| All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject. | Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere. | Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey. |
100% |
|---|
Professional Tutors |
| All of our elite tutors are full-time professionals, with at least five years of tuition experience and over 5000 accrued teaching hours in their subject. |
Global |
International Tuition |
| Based in Cambridge, with operations spanning the globe, we can provide our services to support your family anywhere. |
97% |
Independent School Entrance Success |
| Our families consistently gain offers from at least one of their target schools, including Eton, Harrow, Wellington and Wycombe Abbey. |
At the Beyond Tutors we recognise that no two students are the same.
That’s why we’ve transcended the traditional online tutoring model of cookie-cutter solutions to intricate educational problems. Instead, we devise a bespoke tutoring plan for each individual student, to support you on your path to academic success.
To help us understand your unique educational needs, we provide a free 30-minute consultation with one of our founding partners, so we can devise the tutoring plan that’s right for you.
To ensure we can best prepare for this consultation, we ask you to fill out the short form below.